IXL | Use tape diagrams to solve ratio word problems

Read the story.

The Culver City Carnival had a face-painting booth. There were 8 times as many kids as adults who had their faces painted.

Pick the diagram that models the ratio in the story.

kids

adults

kids

adults

If 56 kids had their faces painted, how many people had their faces painted altogether?

people

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Learn with an example

Read the story.

When Brianna plays solitaire, she keeps track of how many times she wins and loses. She has won 2 games for every 3 that she has lost.

Pick the diagram that models the ratio in the story.

wins

losses

wins

losses

If Brianna has won 18 games, how many games has she played in all?

games

In the story, Brianna has won 2 games for every 3 she has lost.

This diagram models the ratio in the story. There are 2 boxes for wins and 3 boxes for losses.

wins

losses

You know that Brianna has won 18 games. Use the model to help you find how many games Brianna has played in all.

wins

losses

Start by finding how many games each box in the diagram represents. Brianna has won 18 games, and there are 2 boxes for wins. So, divide 18 by 2.

Each box in the diagram represents 9 games.

wins

losses

There are 5 boxes in the diagram in all. So, multiply to find how many games Brianna has played in all.

Brianna has played 45 games in all.

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Work it out

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