IXL | Rates: word problems

At soccer practice, Hassan warms up by kicking balls at the goal. Yesterday, Hassan made 24 goals in 3 minutes. Today, he only spent 2 minutes kicking balls at the goal.

If Hassan made goals at the same rate, how many goals did he make today?

goals

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Learn with an example

question

Evan's favorite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.

How long did Evan spend making paper cranes today?

hours

solution

Evan made 28 paper cranes in 4 hours yesterday. Write this as a rate.

28 paper cranes

4 hours

Divide the numerator and denominator by 4 to find the unit rate.

28 paper cranes

4 hours

7 paper cranes

1 hour

Evan made paper cranes at a rate of 7 paper cranes per hour. You need to find how long it took him to make 21 paper cranes at the same rate. Write a proportion.

7 paper cranes

1 hour

21 paper cranes

? hours

Compare the numerators.

paper cranes

1 hour

paper cranes

? hours

To get from 7 to

21,

multiply by

Multiply the numerator and denominator by 3 to find how long Evan spent making paper cranes today.

7 paper cranes

1 hour

21 paper cranes

hours

Evan spent 3 hours making paper cranes today.

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Lesson: Ratios

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