IXL | Use tape diagrams to solve ratio word problems

Read the story.

Ryan earned badges at Camp Evergreen for completing different activities. He earned 7 outdoor activity badges for every 3 indoor activity badges.

Pick the diagram that models the ratio in the story.

outdoor

indoor

outdoor

indoor

If Ryan earned 6 indoor activity badges, how many badges did he earn in all?

badges

ref_doc_title.

Learn with an example

question

Read the story.

Debbie is on a pickleball team. Her team has 3 wins for every 2 losses so far this season.

Pick the diagram that models the ratio in the story.

wins

losses

wins

losses

If Debbie's team has won 9 games, how many games have they played altogether?

games

solution

In the story, the team has 3 wins for every 2 losses.

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

wins

losses

You know that the team has won 9 games. Use the model to help you find how many games they have played altogether.

wins

losses

Start by finding how many games each box in the diagram represents. The team has 9 wins, and there are 3 boxes for the team's wins. So, divide 9 by 3.

Each box in the diagram represents 3 games played.

wins

losses

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

Debbie's pickleball team has played 15 games altogether.

Looking for more? Try these:

Lesson: Ratios

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Not feeling ready yet? These can help:

S.5Write a ratio: word problems

S.6Which model represents the ratio?

Lesson: Ratios

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