Solving Problems Involving Systems of Equations


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question 1 of 3

The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down the ride, 260 people ride it and $815 is collected. How many adults rode the coaster?

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1. At George and Michael's lemonade stand, they can hold 17 cups of lemonade in one large pitcher and two small pitchers. If one small pitcher is filled from a large pitcher, two cups are left in the large pitcher. When full, how many cups of lemonade can the large pitcher hold?

2. At the end of his weekly shopping excursion, Mr. Archer has purchased six pairs of pants and five pairs of socks for $348. The next day, he realizes he needs one more pair of pants and two pairs of socks, which he buys for $72. If the prices for all the pants are equal, as are the prices for all the socks, what is the cost of one pair of socks?

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About This Quiz & Worksheet

There are systems all around us that help keep life running smoothly. Using systems of equations, mathematicians can determine answers to all kinds of problems. This quiz/worksheet will ask you to use the rules of systems of equations to answer multiple real-life scenarios.

Quiz & Worksheet Goals

In particular, you'll solve problems about:

  • Prices
  • Liquid amounts
  • Ages

Skills practiced

With these assessments, you'll use:

  • Problem solving - use acquired knowledge to solve systems of equations practice problems
  • Interpreting information - verify that you can read information regarding how to use systems of equations and interpret it correctly
  • Knowledge application - use your knowledge of systems of equations to determine the cost of an individual item

Additional Learning

If you would like additional study material, please check out the lesson called Solving Problems Involving Systems of Equations. You'll learn about:

  • How to define systems of equations
  • Substitution method
  • Solving money practice problems
  • Percentage equations