IXL | Use tape diagrams to solve ratio word problems

Read the story.

Shelley surveyed her classmates to find their favorite local band. She found that for every 5 classmates who chose The Hypesters, she had 3 classmates who chose Skirmish.

Pick the diagram that models the ratio in the story.

The Hypesters

Skirmish

The Hypesters

Skirmish

If 24 of her classmates chose Skirmish, how many chose The Hypesters?

classmates

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Learn with an example

question

Read the story.

Austin plays both forward and goalie on the school soccer team. He has played forward in 4 games for every 3 games he has been the goalie this season.

Pick the diagram that models the ratio in the story.

forward

goalie

forward

goalie

If Austin has played forward in 8 games, in how many games has he been the goalie?

games

solution

In the story, Austin has been a forward in 4 games for every 3 games he has been the goalie.

This diagram models the ratio in the story. There are 4 boxes for games as a forward and 3 boxes for games as the goalie.

forward

goalie

You know that Austin has been a forward in 8 games. Use the model to help you find how many games he has been the goalie.

forward

goalie

Start by finding how many games each box in the diagram represents. Austin has been a forward in 8 games, and there are 4 boxes in the diagram for games as a forward. So, divide 8 by 4.

Each box in the diagram represents 2 games.

forward

goalie

There are 3 boxes in the diagram for games as the goalie. So, multiply to find how many games Austin has been the goalie.

Austin has been the goalie in 6

games.

Looking for more? Try these:

Lesson: Ratios

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Teacher tools

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Not feeling ready yet? These can help:

S.2Write a ratio using a colon

S.6Which model represents the ratio?

Lesson: Ratios

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