Math Word Problems Questions and Answers

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Math Word Problems Questions and Answers

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How do you write an algebraic expression that models the word phrase "The total height of a 1-foot tall birdbath if it is placed on a base that is b feet tall"?
One serving of spinach contains 20 calories and 3 grams of protein. One serving of eggs contains 150 calories and 13 grams of protein. Find the number of servings of each which combined contains 16...
You want to carpet a rectangular room measuring 12 feet by 15 feet. The carpeting costs $24.99 a square yard and the cushioning pad costs $2.99 a square yard. To install the carpet, the labor charg...
Translate each of the following to an algebraic expression. a. the sum of 40 and a number b. the product of -5 and a number c. the difference of twice a number and 8 d. 6 less than a number
You have $6,000 to invest in two stock funds. The first fund pays 5% annual interest and the second account pays 9% annual interest. If after a year you have made $380 in interest, how much money d...
Mrs. Baker paid $2.50 for 5 pounds of bananas. How do you write an equation relating the cost, c, to the number of pounds, p, of bananas? How much would Mrs. Baker pay for 8 pounds of bananas?
Larry Mitchell invested part of his $16,000 advance at 4% annual simple interest and the rest at 6% annual simple interest. If his total yearly interest from both accounts was $860, find the amount...
Solve the following inequality and write the solution set in interval notation. 3(b + 1) - 5b \geq 4b + 3 Select the correct choice below and if necessary fall in the answer box to complete your c...
A hot dog stand makes $500 one week, loses $200 the next week, and then loses $400 the week after that. How much money did the hot dog stand to make over those three weeks?
It takes a local frog six hours to build a race car. His friend, a toad, takes twelve hours to build the same race car. How long would it take them to build a race car if the frog and toad worked...
How many gallons of a 3% salt solution must be mixed with 50 gallons of a 7% solution to obtain a 5% solution?
If 8 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 12 is added to the product. What is the number?
Paul's height is 73 inches and his brother Nathan is 17/18 of his brother's height. How tall is Nathan?
A quart of milk costs 73 cents. A case of 12 quarts costs $7.68. How much is saved per quart by buying the milk by the case?
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces d...
How many bundles of strip flooring are needed to cover a rectangular floor area 18ft by 19ft 9in. If one bundle of strip flooring contains 22ft2 and if 10% extra must be allowed for side and end ma...
A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 315 ounces of a mixture that has 5% salt. How many ounces of water (containing no salt) and...
The Nutty Professor sells cashews for $6.60 per pound and Brazil nuts for $4.40 per pound. How much of each type should be used to make a 44-pound mixture that sells for $5.55 per pound?
A group of 12 people went out to a local restaurant. each person had to select the buffet ($15) or the salad bar ($8). The total bill was $159. a) How many people chose the buffet? b) How many ch...
Billy needs to read 500 minutes this week for his English class. He is going to read 6 days. If he already reads 15 minutes every day, how many additional minutes does he need each day to read at l...
If you mix 150 grams of a 22% sugar solution and 250 grams of a 16% sugar solution, what percent of the mixture is sugar?
You need a 90% alcohol solution. On hand, you have a 110 mL of a 20% alcohol mixture. How much pure alcohol will you need to add to obtain the desired solution?
The diameter of a small pizza is 16 centimeters. This is 2 centimeters more than two-fifths of the diameter of a large pizza. How do you find the diameter of the large pizza?
Erica takes four times as long as Daisy to build a garden box. Together it takes 5 hours to build it. How long will it take Erica to build the garden box by herself?
Five times the sum of three consecutive integers is 150. What are the integers?
Two friends, Ken and Barbie, are painting a living room. Ken can paint it in 6 hours working alone. If Barbie works alone, it will take her 8 hours. How long will it take them to paing the room wor...
Evie's cell phone plan cost $35 a month with an additional 10 cents per minute for any minutes over 500 minutes per month. Evie was charged $37.20 in January, how many minutes did Evie use on her c...
Carl bought 19 apples of 2 different varieties to make a pie. The total cost of the apples was $5.10. Granny Smith apples cost $0.25 each, and Gala apples cost $0.30 each. How many of each type of...
A jar contains 68 coins consisting of nickels and dimes, worth a total of $4.65. How many nickels are in the jar?
A vending machine that takes only dimes and quarters contains 30 coins with a total value of $4.20. How many of each coin are there?
Mary needs to paint four walls, each measuring 24.6 feet by 9.8 feet. Each gallon of paint covers 300 square feet of wall. What is the least number of gallons of paint Mary should buy?
Pears cost $0.92 per pound and apples cost $1.10 per pound. Mr. Bonilla bought 3.75 pounds of pears and 2.1 pounds of apples. How much did he pay for the pears and apples?
You are throwing a pizza party for 15 people and figure each person might eat 4 slices. You call up the pizza place and learn that each pizza will cost you $14.78 and will be cut into 12 slices. Ho...
The US Senate has 100 members. After a certain election, there were 4 more Democrats than Republicans with no other parties represented. How many members of each party were there in the Senate?
The Nuthouse sells macadamia nuts in three sizes. The 12-oz jar sells for $8.64, the 16-oz jar sells for $10.88, and the 24-oz. gift tin costs $17.04. Which size is the best buy?
A plumber charges $75 for the first 30 minutes of each house call plus $2 for each additional minute that she works. The plumber charges Adam $113 for her time. For what amount of time, in minutes,...
What is the greatest common factor of 54 and 36?
Sanford can assemble a computer in 60 minutes. Colleen can assemble a computer in 40 minutes. If they work together, how many minutes does it take them to assemble a computer?
For a long-distance person-to-person telephone call, a telephone company charges 0.37 for the first minute, 0.29 for each additional minute, and a 2.05 service charge if a call's cost is 3.29. How...
Find the distance in kilometers between Farmersville, California 36 ^oN and Penticton, British Columbia, 49 ^oN assuming they lie on the same north-south line. Assume that the radius of the Earth i...
A pulley is 1.2 ft in diameter. a. Find the distance the load will rise if the pulley is rotated 630^\circ. Find the exact distance in terms of \pi and then round to the nearest tenth of a foot. b....
Sarah wants to put a 1.5-foot-wide painting in the middle of a 12-foot-wide wall. She wants the painting to be exactly horizontally centered on the wall. What should the distance be, in feet, from...
The office manager of a small office ordered 120 packs of printer paper based on average daily use, she knows that the paper will last about 40 days. How many packs of printer paper should the mana...
In algebra, what are suggestions or tips to see the numbers hidden in word problems?
A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound...
During the 1998-1999 little league season, the tigers played 50 games. They won 26 more games than they lost. How many games did they win that season?
This year, the boys' baseball team won 4 times as many games as it lost. The team played a total of 40 games. How many games did the team win?
The three and one-half mile long Union Pacific train is about 212 times the length of a typical freight train. How long is a typical freight train?
Joyce has 5 exams every two weeks. How many exams will she have to do within a quarter of the year?
Your profit for mowing lawns this week is $24. You are paid $8 per hour and you paid $40 for gas for the lawn mower. How many hours did you work this week?
Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria. Henry served 6 fewer orders than Christine. Ali served 4 times as many as Henry. How many orders did they e...
A ramp to a door is to rise one foot for every five feet of horizontal distance. What is the length of the ramp if the door is 2.3 feet above the ground?
How do you write an equation that means "3 times a number plus 8 is 29"?
When the number w is multiplied by 4, the result is the same as when 4 is added to w. What is the value of 3w?
There are 40 cows and chicken in the farmyard. One quiet afternoon, Lack counted and found that there were 100 legs in all. How many cows and how many chickens are there?
Renting a pony costs $200 plus $40 per hour. Write an equation to represent the total cost, c, of renting a pony for h hours.
Twenty thousand dollars is divided into two scholarships. Twice the amount of the smaller scholarship is $2,000 less than the amount of the larger scholarship. What is the amount of the larger sch...
Lynne has a watering can that holds 16 cups of water, and she fills it half full. Then she waters her 15 plants so that each plant gets the same amount of water. How many cups of water will each pl...
Solve 3/4 = x/12
Anne found 7 quarters and 3 dimes. How much money did Anne find?
Labels measuring 2 \frac{1}{2} \times 1 \frac{1}{2} in are to be cut from a roll measuring 48 \frac{3}{4} \times 1 \frac{1}{2} in. What is the maximum number of labels that can be made? a. 17 \\b....
The product of two numbers is 340. If one number is -17, how do you find the other number?
John earns $25 each weekend to collect aluminum cans, plus a nickel for every nickel he collects. If John made $64.35 last weekend, how many cans did he collect?
How do you find one-tenth of a number?
One lap of a running track measures 255 m. To run 10.0 km, how many laps should you run?
The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. What are the numbers?
In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. What is the cost of each shirt?
Determine whether (-4,-3) is a solution of 4x - 5y = 18.
Dana inserted ten coins, consisting of dimes and nickels into a vending machine to purchase a Snickers bar for 70 cents. How many coins of each type did she use?
In 2016 , Selena Gomez had 103 million Instagram followers while Dwayne Johnson only had 71 million followers. Estimate how many more followers Selena had. Show how you round your numbers and wri...
Solve the equation. w + 3.14 = 0.5(2w + 6.38)
If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 3 and 9 is added to the product. What is the number?
Suppose you owe $40 to each of four friends, $10 to each of three friends, and $100 to your parents. If two friends each owe you $70, what is your net debt?
Francine earns $120 per week more than Rob. If they earn a total of $3,720 per week, how much does Francine earn Week?
Determine how much money you would earn this week (including your 5% commission) before taxes are taken out. Assume that you have $7,000 in sales (commission comes from this number). Assumed 40 hou...
A corner store sells two kinds of baked goods; cakes and pies. A cake costs $14 and a pie costs $8. In one day, the store sold 12 baked goods for a total of $144. How many cakes did they sell?
A person 6ft tall casts a shadow 8ft long. At the same time, a building casts a shadow 36 ft long. How tall is the building?
A 25-foot board is cut into two pieces. Four times the length of the shorter piece is 5 ft more than the length of the longer piece. Find the length of the shorter piece. a. 19 ft \\b. 4ft \\c. 6ft...
Trey can type 19 words per minute faster than Conner. Their combined typing speed is 97 words per minute. How fast does Conner type?
There are 461 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 52 people. What is the least number of buses needed for the trip?
A plumber cut a 48-foot piece of pipe into two pieces. The length of the longer piece was fifteen feet
You have 750 cases and they are stacked 60 cases per pallet. So far, you have 9 pallets packed full. How many cases remain?
Solve the equation. 66(x + 11) = 121(x + 6).
Twelve times a number is 96. What is the number?
Kali bought four posters. A week later, half of all her posters were destroyed in a fire. There are now only 20 posters left. How many did she start with?
A boy and her friend are buying ice cream from an ice cream parlor, he is missing 3 cents to buy an ice cream bar. she is missing 5 cents to buy the same ice cream bar. they combine their money...
A baseball team played 155 games and won 41 more than they lost. What was their record?
A baseball team played 160 games and won 62 more than they lost. What was their record?
B is between A and C. Solve for x, if AB = 2x + 6, BC = 4x - 3, \text{ and } AC = 5x + 12.
An automobile repair shop charged a customer $660, listing $75 for parts and the remainder for labor. If the cost of labor is $65 per hour, how many hours of labor did it take to repair the car?
You are offered two different sales jobs. The first company offers a straight commission of 6% of the sales. The second company offers a salary of $390 per week plus 1% of the sales. How much would...
At a recent motorcycle rally, the number of men exceeded the number of women by 216. If x represents the number of men, write an expression for the number of men.
Four large cheeseburgers and two chocolate shakes cost a total of $7.90. Two shakes cost 15 cents more than one cheeseburger. What is the cost of a cheeseburger? A shake?
The French club is sponsoring a bake sale. If its goal is to raise at least $140, how many pastries must it sell at S3.50 each to meet that goal?
Write the algebraic equation: The product of 10 and x is the same as -80.
A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of equal length. How would you describe the length of each of the four p...
Mark wants to buy some used CDs from Hastings. He can get 6 CDs for $50.10 and 9 CDs for $75.15. Write the equation that can be used to find f(x), the amount he would pay at this rate if he bought...
Find d = \mathrm{gcd}(864371, 735577) and integers x \text{ and } y such that 864371 x + 735577 y = d .
Alice manages a store and earns $65,740.00 per year. This year her company met all sales targets, and she will receive a bonus that is 4.6% of her salary. Jeff installs heating and cooling equipme...
One custodian cleans a suite of offices in 6 hours. When a second worker is asked to join the regular custodian, the job takes only 3 hours. How long does it take the second worker to do the same j...
If x + y = 12 and xy equals 50, what does x squared plus y squared equal to?
What is the set of numbers between 2 and 30, without the same common factor (e.g. 26 and 24 shares 2, so they cannot be in the same set) that would give a maximum sum?
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many servings are there in a box that holds 13 cups?
Write out the variable expression for the following. I. 15 more than a number II. 6 less than a number III. The product of a number m and 7
Frank can type a report in 3 hours and James takes 5 hours. How long will it take the two of them typing together?
Gasoline costs \ \ 1.80 a gallon, and my car gets 27 miles per gallon. How far can I drive using \ \ 20 worth of gasoline?
The Giant Wheel at an amusement park is one of the tallest ferris wheels in the country at 136 feet tall. If the Giant Wheel casts a 34-foot shadow, what is the height of a nearby man who casts a 1...
How do you write a variable expression for the word phrase "9 less than k"?
Perform the addition and subtraction and simplify \frac{x}{x^2+x-2} - \frac{2}{x^2-5x+4}
Jessica has no books. Wesley has 2 more books than Jessica. How many books does Wesley have?
In a certain city the temperature (in degrees Fahrenheit ''t'' hours after 9 am was approximated by the function T(t)=30+11 sin pi t/12. a. Determine the temperature at 9 am b. Determine the temp...
Ten times the sum of half a number and 6 is 8. What is the number?
Barry can do a certain job in 7 hours, whereas it takes Sanchez 9 hours to do the same job. How long would it take them to do the job working together?
An appropriations bill passes the U.S. House of Representatives with 39 more members voting in favor than against. If all 435 members of the House voted either for or against the bill, how many vot...
When the cost of a car is multiplied by 0.07 the result is $1750. Find the cost of the car.
What is the value of x in the equation 3x minus 4y equals 65, when y equals 4?
Ella and three friends run in a relay race that is 14 miles long. Each person runs equal parts of the race. How many miles does each person run?
A long year-end status report for work is 136 pages long. You need to print 19 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pag...
The height of a toddler is 36 inches. The mothers height is double the toddler's height, less 5 inches. How tall is the mother?
Solve x/4 = -3
Desmond will build a rectangular vegetable garden. He has 175 feet of fencing and three 2.5 foot wide gates. If he wants the length of the garden to be 5 feet less than twice the width, what should...
Solve the following equations: 1) -9 + 4r = 4r - 3 - 6 2) 6x - 2x + 8 = x + 5 3) 4n + 5n + 15 = 5n + 7n
Write the following as a quadratic equation. The product of two consecutive positive integers equals 56. (a) n(n + 1) = 56 (b) n^2 = 56 (c) n(n - 1) = 56 (d) n (n + 2) = 56
A state has a graduated fine system for speeding, meaning you can pay a base fine and then have more charges added on top. For example, the base fine for speeding is $100. But that is just the start.
A sports goods manufacturer requires two thirds yd. of fabric to make a pair of soccer shorts. How many shorts can be made from 14 yds. of fabric?
You have $220 in your savings account. You take $35 from your account each week for four weeks. How much is left in your account at the end of the four weeks?
A carpenter is cutting a wooden dowl that is 72 cm long. She wants to cut it into 2 pieces so that 1 piece is 5 times as long as the other. What are the lengths of the 2 pieces?
A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 6 feet below the level of the pulley. If the rope is pulled...
Write an equation of Courtney's distance to the coffee shop in terms of the time elapsed since she started riding her bike.
You accept a job with an annual income of $47800. This includes salary and a $1000 year-end bonus. You are paid twice a month. What is your salary per day period?
If ( -3x - 7 - 2y ) = ( 12 - 7x + y ) , what would the value of y be?
The bike cost $120 the sale tax rate was 8%. What was the total cost of the bike including sales tax?
Maritza remembers her pin because it is between 1000 and 1500 and it is the product of two consecutive prime numbers. What is the pin?
a) Solve the system of equations for x and y. b) Find x - y. 8x - 11y = 170; -6y + x = 49
A 20-foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find the lengths of both pieces. What is the length of the shorter piece?
How do you get the ordered pair (22,-28) from the equation: 2a+b=16?
A community 5 K run will award $50 to the winner. 40 people enter the race, and they each pay an entry fee of $20. Assuming that are all equally likely to win, what is a fair price for the competit...
Two girls go shopping. In the first shop, they spend half of what they have in their purse and $2 more. In the next shop, they spend half of their remaining money and $5 more. In the next shop, the...
Is there a set of two numbers that add to be 1 and multiply to be 1?
A used motorcycle is priced at $3,438. If you borrow the money for the motorcycle, your payments will be $165 a month for 24 months. How much will you save by paying cash?
Father can do the job on the farm in 6 hours. The older son can do it in 8 hours. The younger son can do the same job in 12 hours. How long will it take them to do the job, if they all work together?
In 2014, a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of musical production. Two dozen students were injured. The stage could support a maxi...
How do we solve for x given the following equation? 2x + x = 6
Solve for h. A= \frac{1}{2}h(a + b)
A cable 84 meters long is cut into two pieces so that one piece is 18 meters longer than the other. Find the length of each piece of cable. Write your solution as a sentence.
Solve the following equation for t x = y + rt + at^2/2 given x = 16.4 , y= 0 , r= 0 ast cos(45) , a = 0
A man is 38 years old and his daughter is 14 years old. How many years will it be before the man's age is just twice that of his daughter?
Arnold either ran 5 or 7 miles each day for 30 consecutive days. his total mileage during this period was 166. How many days did he run 5 miles?
Point B is between A and C. If BC = 11 cm and AC = 17 cm, what is AB?
Mr. Scrooge bought 4 packages of ground beef. The second package weighed three times as much as the first, and the third package weighed half as much as the second. The fourth package weighed fifte...
y=x+z, x=8, z=12 what is that value?
It is estimated that each cigarette a person smokes shortens that person's life by the amount of time she or he took to smoke it plus ten minutes. Write an algebraic rule that determines the number...
Asanji took a trip to Mexico. Upon leaving, he decided to convert all of his pesos back into dollars. How many dollars did he receive if he exchanged 42.7 pesos at a rate of $5.30 = 11.1 pesos?
A recipe calls for 32 fluid ounces of heavy cream. How many 1-pint containers of heavy cream are needed to make the recipe?
Find the value of h. frac{3}{16} = frac{h}{2}
31 plus what number is 307?
A 28-foot rope is cut into two sections with one section 3 times as long as the other section. How long is the shorter piece?
Van dives off a 4 meter springboard. His height, h, in meters, above the surface of the water is defined by the relation h = -d^2 + 4, where d is his horizontal distance, in meters, from the end of t
9d - \frac{d}{5} = 88, \frac{c}{2} + 11c = 92. Solve for the variables d and c?
If it takes 8 inches of ribbon to make a bow, how many bows can be made from 3 feet of ribbon?
The remaining credit after 43 minutes of calls is $13.55, and the remaining credit after 55 minutes is $11.75. What is the remaining credit after 62 minutes?
What number is 10 more than 81?
Show steps to solve for x: 2(x - 3) - 17 = 13 - 3(x + 2).
If matt has six times as many sitckers as tom.How many stickers dose he have to give tom so, they can have 70 stickers each?
On a bicycle, Maggie rides for 4 hours and is 26 miles from her house. After riding for 11 hours, she is 68 miles away. What is Maggie's rate?
Omar is born weighing 8 pounds, 3 ounces. The doctor says he he should gain about 5 ounces each week for the next 4 weeks. How much should Omar weigh after 4 weeks?
If 2 cups of a 1 quart bottle of water was taken away, then how many ounces were left?
If it takes 3 cats 3 minutes to catch 3 mice, how long will it take 100 cats to catch 100 mice?
How do you find the greatest common factor of 20 and 28?
You travel by subway to and from work, at a cost of 8 dollars per day. How much can you save by buying a monthly pass for 80 dollars? Assume a month has 20 work days.
Home ventilation standard require a controlled ventilation rate of 16 cubic feet per minute per person. If a house is occupied by four people, what is the total ventilation is required?
Reduce to the lowest terms. 5r-5s/5r+5s
Tina's goal is to make 45% of her shots during the basketball season. After 19 games she has made 38% of her 203 shots. She has 8 games left and estimates that she will shoot at about the same pace...
Solve each of the following equations by first expanding the brackets. a) 4(5 - b) = 18 \\ b) 2(1 - m) = 13 \\ c) 5(3 - x) = 19
Guillermo is 72 inches tall and casts a shadow of 24 inches. At the same time of day, his little sister casts a shadow of 20 inches. How tall is Guillermo's sister?
Prove the proposition that in a room of 13 people, 2 or more people have their birthday in the same month.
The halftime period at a football game is 30 minutes long. The cheerleaders have to perform before and after the band; however, the band plays 5 minutes longer than the cheerleaders dance. How long...
How do you find the greatest common factor of the numbers 8 and 16?
The number of lions is 42 more than the number of tigers. Five times the number of tigers is 24 more than two times the number of lions. What is the number of lions? What is the number of tigers?
The cost of CAKES BY KATE to make a cake is a setup fee of $30 plus $9 per cake tier. The cost of MAGICAL BAKERY is $45 for a setup fee and $6 per cake tier. When would the costs be the same? (How...
Solve the equation 9x - 7 = 6x + 3 for x and round the answer to the nearest tenth.
How do you find the cost of a gallon of water if the cost of a gallon of milk is $0.50 more than five times the cost of a gallon of water, and a gallon of milk costs $3.75?
On the first day of vacation, you read one-third of novel. On the second day, you read one-third of the remaining pages. On the third day, you read the last 80 pages of the novel. a. How many pages...
Alex has a cage for his chickens and rabbits. Alex counts 100 legs from the bottom of the cage. He counts 1 more rabbit than chickens. How many chickens and how many rabbits does he have?
If a person stopped working 10 minutes early every day based on 240 work days per year and 40 hours per week, how much time would that be in a year?
Consider the numbers 0, 10, 20, 30, and 40. Multiply each by 4 and compare the result to 60 to determine into which of the following intervals the answer to the question "What number can you multip...
Johnny wants to ship a package to his friend. A shipping company charges $2.49 for the first pound and $1.24 for each additional pound. If it cost Johnny $11.17 to ship the package, how much did hi...
Translate the following into an algebraic equation. The sum of two consecutive integers is 35.
How many pieces of wood each 7 1/2 inches long can be cut from a board that is 45 inches long?
Find the value of n. 10n + 6 = 15n - 9
Josh receives a weekly paycheck from his job. At the end of the week, he has $52 remaining. Throughout the week he spent a third of his paycheck at the mall and $8 for a new calculator. What the am...
A rental car company charges Chris a flat rate of $30 a day plus $0.04 per mile driven. Chris' total for a 2 day rental is $122.92. How many miles did Chris drive in 2 days?
M is 5 years older than N. The product of their ages is 84. How old is M?
There are 8 crackers in 1 serving. 16 crackers in 2 servings, 24 crackers in 3 servings, and so on. How many crackers are in a box of 12 servings?
What is the sum if -79.9 is added to the difference of 45.9 and 7?
Marcus has 3 red marbles, 9 white marbles and 4 green marbles. He wants to divided all the marbles evenly into two jars but he only wants two colors in each jar. How can they be divided?
The ICE exchange can process 65,525 requests in 23 minutes and 15 seconds. How many requests can the ICE exchange process in 5 minutes and 14 seconds?
A cylindrical oil tank is { \frac {2}{5} } full. If 9 more liters are added, the tank will be { \frac{5}{8} } full. What is the capacity of the tank?
Shay is taking a Yellow Cab in St. Paul from Como Park to the State Capitol (a 3.2-mile trek). When she gets in, she is charged $6.90 for the likely amount of time spent in the cab. They also charg...
Solve for j. B = \frac{j + v}{2}
A rectangular window frame measures 24 inches by 36 inches. If trim for the window costs $2.75 per linear foot, how much will it cost to put trim around the window?
Ben bought 4 pairs of jeans and a T-shirt that cost $8. He had a coupon for $3 off the price of each pair of jeans, and spent a total of $92 before tax. What was the price of each pair of jeans?
Margaret wants to paint a rectangular toy box that is 2 ft wide by 1.5 ft high by 4 ft long. One quart of paint will cover 100 ft squared. How many quarts of paint will she need to buy if she puts...
At 1 pm the shadow of a tree is 14 feet long. At the same time the shadow of a 18-foot telephone pole is 21 feet long. What is the height of the tree?
A number is divided by 4, and then the quotient is added to 17. The result is 25. How do you find the number?
A strip of wood 78 inches long, is to be cut into pieces 3 and 3/4 inches long. How many pieces can be cut?
The sum of three numbers is 98. The third number is 4 times the second. The first number is 10 less than the second. What are the numbers?
How do you find the greatest common factor of 45y^12 and 30y^10?
I have 14 tens, 6 hundreds, 7 ten thousands, and 15 ones. What number am I?
How do you write an expression for "the product of p and q"?
I have 9.45 dollars in quarters and dimes in my pocket. The number of dimes is 18 less than twice the number of quarters. How many of each coin are there?
I have $9.45 in quarters and dimes in my pocket. The number of dimes is 18 less than twice the number of quarters. How many of each coin are there?
A 12 pack of soda is roughly $3.75. What is the cost per can of soda?
The difference in hours between full-timers and the part-timers who work 6 hours a day is 5 working hours. how many hours per day do full-timers work?
Yoshi's yogurt contains 15 calories per ounce. How many calories are in an 8-ounce container of Yoshi's yogurt ?
110 students went to the lake for a boat ride. There were 8 boats (each would safely hold the same number of students), and all but 14 students could go for a ride. Those remaining 14 students had...
4 boys share 3 granola bars equally. How much of a granola bar does each boy get?
1 mL = 32 drops from a dropper. If a 15 mL container holds 60 equal doses of medicine, how many drops are in a dose?
Cristiano is saving money to buy a bike that costs $189. He has saved $99 so far. He plans on saving $10 each week. In how many weeks will he have enough money to buy the bike?
In Canada, $1 and $2 bills have been replaced by coins. When Marissa returned home to San Francisco from a trip to Vancouver, she found that she had acquired 37 of these coins with a total value of...
You left a $15 tip that was exactly 20% of the total bill at dinner last night. What was the bill total?
A chemist needs 130 ml of a 39% solution but has only 3% and 55% solutions available. How many milliliters of the 3% solution should be used to get the desired solution?
Mylee buys a combination of 45 cent stamps and 65 cent stamps at the post office. If she spends exactly $24.50 on 50 stamps, how many of each type did she buy?
Darnell rented a moving truck. The weight of the empty truck was 7,860 pounds. When Darnell filled the truck with his items, it weighed 6 tons. What was the weight in pounds of the items that Darne...
Inc makes bicycles, tricycles, and unicycles. Last week, they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. If they made 40 more bicycles than tricycles, how man...
Malia had $ 2.30 but wanted to buy a movie ticket for $ 4.00. How much does she need?
If eight times a number equals 24 more than two times that number, what is the number?
The sum of two numbers is 30 and their difference is 20. What are the two numbers?
It takes 7 minutes to fill a bathtub using the cold water faucet alone. It takes 12 minutes using the hot water faucet alone. How long will it take to fill the tub using both?
The middle digit of a number between 100 and 1000 is zero and the sum of the other digit is 13. If the digits are reversed, the number so formed exceeds the original number by 495. Find the number.
Jake can carry 614 pounds of wood in from the barn. His father can carry 157 times as much as Jake. How many pounds can Jake's father carry?
How do you write the expression for "twice the difference of a number z and 12 is equal to 10"?
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $145.00 for admission plus $10.00 every trip for parking. Plan 2 charges a one-time fee of $115.00 for parking pl...
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $145.00 for admission plus $5.00 every trip for parking. Plan 2 charges a one-time fee of $40.00 for parking plus...
Gustavs father is seven times as old as he is. A year ago, he was nine times as old as gustav. Find gustav's present age?
The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?
So far, 37 miles of a new highway have been completed. This is one mile less than two-thirds of the entire length. How long will the new highway be when complete?
Trent purchases 44 Euros worth of souvenirs while on vacation in France. If $1 U.S. = 0.678 Euros, what is the cost of the souvenirs in United States dollars?
What divided by 4 equals 9?
Elizabeth has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are 0.25 meter long. How many pieces of ribbon will she have?
Three consecutive integers are n, n_{1}, n_{2}. Four times the sum of the least and greatest integers is 12 less than three times the least integer. What is the least integer?
One number is 7 more than another. The difference between their squares is 91. What are the numbers?
Twelve less than four times a number is the same as six times the number. How do you find the number?
Solve: \frac{t+1}{3} - \frac{t-1}{2} = 1.
A community gym charges a $50 membership fee and a $55 monthly fee. Another gym charges a $200 fee and a $45 monthly fee. After how many months will the total amount paid to both gyms be the same a...
How do you translate "5 less than a number" into a mathematical expression?
How do you write a numerical or variable expression for: two dozen eggs?
Mina has $1.70. If she gives half to her brother, how much money does she have left?
What is the weekly income for a person who earns an annual salary of $28,500?
Solve and find he value of p. 3p+3=2p+4.5
There is only one freshman in the cast of a high school musical. there are 6 sophomores and 11 juniors. one-third of the cast are seniors. how many seniors are in the musical?
How do you translate "5 minus twice a number" into an algebraic expression?
Jason eats 10 ounces of candy in 5 days. On average, how many pounds does he eat per day? How long will it take Jason to eat 1 pound of candy?
Larry, Lionel, and Lester painted a fence. Larry painted the first 1 / 3 of the fence. Lionel painted 3 / 5 of what remained. Lester painted the final 40 ft. How long is the fence?
Tehira has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take to finish?
Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive model is represented by the function, C(x) = 101x + 290000 measu...
Sharon has some almonds. After buying another 350 grams of almonds, she now has 1,230 grams of almonds. How many grams of almonds did Sharon have at first? Use an algebraic equation or algebraic in...
If you have a gross of items, you have 144 items. If you buy a gross of eggs, how many dozen eggs do you have?
2 machines fill cereal boxes at the same rate. After the two machines work together for 9 h, one machine breaks down. The second machine requires 18 more hours to finish filling the boxes. How long...
David is applying to adopt some pet mini-dragons. The Main Street Dragon Rescue requires that new pet owners have at least 3 1/2 square feet of yard space per each mini-dragon they adopt. If David...
A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return? Solve using the V.E.S.T. method.
Suppose that 17 inches of wire costs 51 cents. At the same rate, how many inches of wire can be bought for 42 cents?
Joe put 1/2 of his allowance into a savings. He spent 2/5 of the remainder on game rentals and $3.75 on snacks. How much is monthly allowance?
Is 2 a solution of the following equation? 2=10-4y explain
It will take 27 equal monthly payments for Aimee to pay off her credit card balance of $2053.62. How much is she paying each month?
If you only have a 1/2 cup measuring cup and a recipe calls for 8(1/2) cups of flour, how many 1/2 cups would you need to use?
Alkana and Hsu together earn $84,326 per year. If Alkana earns $12,468 more per year than Hsu, then how much does each of them earn per year?
Write in algebraic equation: the product when the sum of y and twelve is multiplied by five is one hundred.
What is the greatest common factor of 7w^4, 9y^3?
How many animals should be tested for the average cost to be $3.50 per animal given $220,00 set up cost?
Pam scored 78 on a test that had 4 fill-in questions worth 7 points each and 24 multiple choice questions worth 3 points each. She had one fill-in question wrong. How many multiple-choice questions...
A number(N) multiplied by 9 gives the product 27. What is the number(N)? (A) N = 36 (B) N = 18 (C) N = 3 (D) N = 4
What is the easiest way to find the GCF and LCM?
Solve the following problem: 2(y - 6) = 3y + 12 - y.
The projected cost of a new high school is $20,066,340, of which $5,216,340 will be covered by available grants. Using data from the last census, the planning committee estimated the cost per town...
Which one of the following is a solution of the system? x + y less than -3 and x + y greater than 8. (a) (6, 9) (b) (-2, 4) (c) Infinitely many solutions (d) No solution
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 176 cities. The jazz band visited 98 cities more than the rock band. How many cities did ea...
Factorize the following expression. 20 w^2 x^4 y^5 + 12 w^6 x^9
A store sold a total of 125 car stereo systems and speakers in one week. The stereo systems sold for $104.95, and the speakers sold for $18.95. The sales from these two items totaled $6,926.70. How...
Lucy, Maria, and Carlos are collecting baseball cards. Altogether, they collected 109 cards. Maria has twice as many cards as Carlos, but she has 11 more than Lucy. How many cards does Lucy have?
The students at Harrison Middle School are being split into groups for a community service project. The school faculty has decided that each grade (6th, 7th, and 8th) will be split up into their ow...
How many times does the digit 4 occur in the page numbers of a 50 page book?
Dale will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.98 and costs an additional $0.12 per mile driven. The second plan has an initial fee o...
Smithers distributed pairs of trunks evenly among 7 friends, One friend got 2 pairs or trunks. How many pairs of trunks were there in total?
Solve. \frac{3}{8}x + 5 = 25
Find the length and width of a rectangle whose perimeter is 42 feet and whose area is 104 square feet.
If two adults and three children go to the movies, it costs $31.50. lf one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket?
A small bag of chips weighs 48 grams. A large bag of chips weighs three times as much as the small bag. How much will 7 large bags of chips weigh?
It takes Mom, Dad and Isabel two hours to shovel their driveway after a snow storm. If Dad worked alone, it would take him 4 hours to shovel the entire driveway by himself. If Isabel worked alone,...
What is the cost of each eraser if you bought a magazine for $5 and four erasers for a total of $25?
A tank can be filled in 30 min by two pumps working together. If the larger pump takes 25 min less time than the smaller pump to fill the tank, what is the time needed by the larger pump to fill th...
Two times a number plus three times another number equals 4. Three times the first number plus four times the other number is 7. Find the numbers.
The quantity demanded x (in units of a hundred) of Mikado miniature cameras per week is related to the unit price p (in dollars) by p = -0.2x^2 + 220, and the quantity x (in units of a hundred)...
How many times greater is 6709075 than 35628?
Five times a certain number exceeds 19 by 6. solve this in an algebraic form?
If I have a garden space 2 feet wide and 8 feet long, and I want to put a border 4 inches by 4 inches of tiles around it, how many tiles do I need ?
An actor invests some money at 6%, and $43,000 more than twice the amount at 11%. The total annual interest earned from the investment is $25,450. How much did he invest at each amount?
You online store only sells one item, in either regular or deluxe version. Because of high demand and restricted supply, you restrict each customer to buying 1 item - either buying the regular ver...
A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still...
The sum of five consecutive integers is 505. What is the third number in this sequence?
Solve for y. x = (9 - y)^3
Kevin has $4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether?
If a boy grows 5 inches he will be 1/2 as tall as his sister. His sister is 68 inches tall. How tall is the boy?
It takes 1200 workers 8 years to build 3 ziggurats. How many workers are needed to build 1 ziggurat in 8 years?
On three consecutive passes , a football team gains 7 yards,losses 21 yards and gains 12 yard ,what number represents the total net yardage?
Dylan has $2.30 in dimes and nickels. The dimes exceed nickels by 5. Find the numbers of each kind.
Jake's water bill is $15.50 per month plus $2.30 per hundred cubic feet of water. What is the maximum number of centum cubic feet (CCF) jake can use if he wants his bill to be no more than $50?
Martin has 130 cents. He has 3 times as many nickels as quarters and 2 less dimes than quarters. How many of each kind of coin does he have?
The box office receipts totaled $1,442. Student tickets cost $3 and non-student tickets cost $8. If 314 people attended the concert, how many were students?
Julie has $50 which is eight dollars more than twice what John has. How much does John have?
Solve x + 5 = 2x
Carlos has 33 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 555 cents, how many dimes and how many quarters does he have?
Jon has three times as many dimes as he does quarters. He has as many nickels as he has dimes and quarters combined. The total amount of money he has is $3.00. How many of each coin does he have?
Jaime has $2.60 in dimes and nickels. the number of dimes is 14 more than the number of nickels. how many of each coin does he have?
North Manufacturing has a demand for 1,000 pumps each year. The cost of a pump is $50. It costs North Manufacturing $40 to place an order, and carrying cost is 25% of the unit cost. If pumps are or...
One-half of a number is 8 less than two-thirds of the number. Write the algebraic equation.
The sum of three consecutive even numbers is 30. Find the numbers.
The area of a state is 184,044 square miles greater than that of a second state. Their combined area is 300,224 square miles. What is the area of each state?
What is the answer to 8 - 5x = 4x - 1?
Hiram has a total of 20 nickels and quarters. The value of the coins is $4.00. Which system of equations represents the number of coins he has? A) n + q = 20, n + q = 400 B) 5n + 25q = 20, n + q =...
A bottle of cider costs $2.88. The cider costs $2.66 more than the bottle. How much does the bottle cost?
Leo is 67 years old and his son robert is 29 years old. In how many years will robert be exactly half his father's age?
Three hundred students attended the dedication ceremony of a new building on a college campus. The president of the traditionally female college announced a new expansion program, which included pl...
Kala runs each lap in 7 minutes. She will run less than 84 minutes today. What are the possible numbers of laps she will run today?
A rental company charges $75 a day and 50 cents a mile for renting a truck. Michael rents a truck for 3 days, and his bill comes to $420. How many miles did he drive?
Your friend claims that she has a bag of 30 coins containing nickels, dimes, and quarters. The total value of the 30 coins is $3. There are twice as many nickels as there are dimes. Is your friend...
Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quarters does he have?
Solve for y when z= 6 - y. The solution is y=...............
A piece of lumber two and one forth feet long is to be cut into three equal pieces. How long will each piece of cut wood be?
It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is p =\sqrt{676 - 5x} dollars. Determine the...
An office building contains 27 floors and has 37 offices on each floor. How many offices are in the building?
Jimmy has seven times as many dimes as nickels. Their value is $3.75. How many nickels does he have?
Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 . Set up an equation for the perimeter involving only L , the length of...
If the sum of five consecutive even integers is equal to their product, what is the greatest of the five integers? \\ a.4 \\ b.10 \\ c.14 \\ d.16 \\ e.20
You can rent time on computers at the local copy center for a $7 setup charge and an additional $1.75 for every 5 minutes. How much time can be rented for $24?
Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation. 625p^2 - x^2 = 100 I...
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars...
Anna has a collection of 45 nickels and quarters worth $8.05. How many nickels does she have?
Building A is 62.00 feet tall and casts a 26.75 foot shadow. If Building B is 90.00 feet tall, how long is its shadow? Assume the buildings are next to each other. a. 38.83'. b. 40.84'. c. 39.89'....
A sub sandwich and a soda at a basketball game's concession stand cost $3.40. A family purchases three sub sandwiches and two sodas, and the total cost is $9.10. What is the cost of a soda?
If y= 45 when x= 9, find the direct variation equation that relates y and x.
Gabby's piggy bank contains nickels and dimes worth $2.90. If she has 40 coins and all, how many of each does she have?
One-ninth of Polymer Plastics sales are made in New England. If New England sales amount to $600,000, what are the total sales of the company?
What is the unit price for an orange if a dozen oranges cost $1.35?
An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday. Later, Pat found...
Gabby's piggy bank contains nickels and quarters worth $7.90. If she has 54 coins in all, how many of each does she have?
Five less than 6 times a number is the same as the number plus 10. What is the number?
A motorboat travels 528 km in 8 hours going upstream and 540 km in 6 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Emily is having 25 guests at her wedding. If each guest will eat 1/8 of a pie, how many pies does Emily need to make sure she has enough pie for all her guests?
A baseball team has home games on Wednesdays and Saturdays. The two games together earn $5,382.50 for the team. Wednesday's game generate $542.50 less than Saturday's game. How much money was taken...
How many quarters make $225?
A student bought a juice drink for $2 and a sandwich, the total was $6.50. How much was the sandwich.
The sum of 4 times one number and 3 times a second number is 64. If the sum of the two numbers in 19, find the two new numbers.
Evaluate the integral: integral y^2 (y^3 + 15)^9 dy.
Matthew Reeves has $26,000 invested in stock A and stock B. Stock A currently sells for $20 a share and stock B sells for $80 a share. If stock B doubles in value and stock A goes up 50%, his stock...
Dena has 8 coins in her pocket. If she has 2 fewer dimes than nickels and 1 more penny than nickels, how much money does Dena have?
One half of a number is 14 more than 2 times the number. What is the number?
In a pot worth $2.35, there are 6 quarters, 5 dimes, 5 pennies, and the rest of the coins are nickels. What is the ratio of nickels to dimes?
If the community garden is 5/8 of an acre and is divided into 15 equally sized plots, how large is each plot?
72 students is 90% of how many students?
When 7 times a number is decreased by 13, the answer is the same as when 5 times the number is increased by 5. What is the number?
You had some cookies and milk for breakfast this morning. The total number of calories of your breakfast is 232. Each cookie has 25 calories and a bottle of milk has 57 calories. How many cookies d...
The cost of a large pizza is $7.99 plus an additional $0.99 for each topping. Tom ordered a large pizza that cost $10.96. Write and solve an algebraic equation to find the number of toppings on the...
Ray BD bisects angle ABC. Find angle ABD if angle ABD = (6x+4) degrees and angle DBC = (8x-4) degrees
Lucinda has a pocketful of dimes and quarters with a value of $6.20. If the number of dimes is 18 more than 3 times the number of quarters, how many dimes and how many quarters does Lucinda have?
Sheila has 5 times as many markers as Dave. Together they have 18 markers. How many markers does Sheila have?
Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 108 in. What are the dimensions and volume of a square-based box with the...
How do you write an equation from the phrase: "seven less than twice a number equals 19"?
Translate the following to an algebraic equation. Use x as the variable. 3 more than a number is 7.
90% of what number is 45?
Two consecutive odd numbers are such that three times the first is 5 more than twice the second. What are those two odd numbers?
Write a system of equations to describe the problem situation. Use guess and check to solve the problem. On a weekend, two adult movie tickets and three student tickets cost $56.50. Three adult and...
If 7 is added to twice a number and this sum is multiplied by 4 the result is the same as if the number is multiplied by 5 and 10 is added to the product. What is the number?
Peter is throwing a surprise party for his friend Tammy. He has a budget of $350. If the restaurant charges $20 per person for drinks and food and a cleanup fee of $35, what is the maximum number o...
Charles, a college student, has noticed that his pants are getting hard to button. A quick check on the scale in the gym confirms a 7-pound weight gain over the last 12 weeks. The main change in Ch...
Dave Bowers collects U.S. gold coins. He has a collection of 48 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $710, how many of each denomination does he...
Solve for t: 2t + 1 = 3.
Solve: (x - 3) + x = 3.
There are 3 boxes of tangerines, each box has 93 tangerines. The tangerines will be divided equally among 9 classrooms. How many tangerines will each classroom get?
The quotient of a number and -3 is 13. What is the number?
Solve for a. \sqrt{2a}= 2 A. a= 6 B. a= 4 C. a= 2 D. no solution
It takes 232323 minutes for 666 people to paint 666 walls. How many minutes does it take 999 people to paint 999 walls?
Nancy has 24 nickels and dimes worth $2.10. How many of each coin does Nancy have?
A food company makes a popular sausage. In addition to spices, four major ingredients are used to make the sausage. The table below shows the ounces of each ingredient used in the making of one pou...
A chemist is using 377 milliliters of a solution of acid and water. If i8.8% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
The instruction manual on the industrial oven suggests your oven temperature will increase by 45 degrees Fahrenheit per minute. When the oven is initially turned on, the temperature is 70 degrees F...
Solve x - 4 = 10
Working together, two pumps can drain a certain pool in 5 hours. If it takes the older pump 15 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
In a class of 50 students, the number of women is 2 more than 5 times the number of men. How many women are in the class?
Carol has some dimes and quarters. If she has 9 coins worth a total of $1.35, how many of each type of coin does she have?
A washer and a dryer cost $750 combined. The cost of the washer is two times the cost of the dryer. what is the cost of the dryer?
Find the cost per ounce of a sunscreen made from 120 oz of lotion that cost $3.41 per ounce and 70 oz of lotion that cost $12.53 per ounce.
Find the cost per ounce of a sunscreen made from 150 oz of lotion that cost $3.48 per ounce and 90 oz of lotion that cost $14.52 per oz.
A man has 80 cents in his pocket in nickels, dimes, and quarters. he has the same number of each type of coin. what is the total number of coins that he has in his wallet?
The best sports dorm on campus, Lombardi House, has won a total of 15 games this semester. Some of these games were soccer games, and the others were football games. According to the rules of the u...
A 116-cm board is cut into two pieces. If one piece is 40-cm shorter than the other, how long are the two pieces?
Carla and Rob left a 20% tip after having lunch at a restaurant. The amount of the tip was $6. Carla's lunch cost $15. What equation can you use to find x, the cost of Rob's lunch?
There are three times more kittens than puppies in a box. Together there are 24 animals. How many kittens are there?
The sum of a number and its square is 42. Which equation can be used to find the two numbers? A.) x^2 + x = 42 B.) x^2 + 2x = 42 C.) x^2 + x + 42 = 0 D.) x^2 + 2x + 42 = 0
A group of medical practice has 40,000 patients. Charts vary in thickness from 1/4 to 1 inch thick. The average of all charts is 1/2 inch thick. Using the average 1/2-inch thickness, how many inch...
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