# Solving Ratio Problems With Tables, Tape Diagrams & Double Number Lines

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• 0:00 What Is a Ratio Problem?
• 0:51 Solving Ratios with Tables
• 1:26 Solving Ratios with…
• 2:03 Solving Ratios with…
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Lesson Transcript
Instructor: Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

In this lesson, you'll find out how to solve ratio problems in three different ways. For example, you'll learn how to use a table, a tape diagram and a double number line while deciding which method for solving a ratio problem is right for you.

## What Is a Ratio Problem?

A ratio problem is a math problem that involves solving ratios, or how two values are related to each other. For example, a toy car model may have a ratio of 12:1 to its real-world counterpart. This means that 12 inches in the real-life version is equal to one inch in the toy version.

Real-life ratios can also be found in phone plans. For instance, if you pay 40 cents per minute to call someone, then you have a cents-to-minutes ratio of 40:1. Let's say that Sarah spends six minutes talking to her mom and 12 minutes talking to her brother. How much money do the calls cost Sarah if her cents-to-minutes ratio is 40:1? To solve this ratio problem, we can use a table, tape diagram and double number line.

## Solving Ratios with Tables

To solve this ratio with a table, we'll need to create one using the information provided in the problem. The first column refers to the number of minutes used to make the call, while the second column totals the cost of the call. To calculate the cost of the call, we multiply the number of minutes by 40 cents. The problem tells us that Sarah spent six minutes on the phone with her mom and 12 minutes on the phone with her brother for a total of 18 minutes. According to our table, those 18 minutes on the phone cost Sarah 720 cents, or \$7.20.

Minutes Cents
1 40
2 80
3 120
4 160
5 200
6 240
7 280
8 320
9 360
10 400
11 440
12 480
13 520
14 560
15 600
16 640
17 680
18 720

## Solving Ratios with Tape Diagrams

Now, let's take a look at solving the same problem but with a tape diagram. The first row of blocks represents the six minutes Sarah spends on the phone with her mom, while the second row of blocks represents her 12-minute call to her brother.

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