Two coaches created different practice plans before the tournament. Tara, Emek, and Luna compared the plans to find the best one for their team. The first plan included 30 minutes of drills and 10 minutes of rest, giving a drill-to-rest ratio of 30:10. The second plan used 24 minutes of drills and 12 minutes of rest, with a ratio of 24:12. By simplifying and comparing the ratios, they saw which plan provided more focused practice time. They chose the plan that matched the team's goal and helped the players prepare effectively.

Challenges

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Challenge 1 of 5

Challenges

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Challenge 1 of 4

Hint

Divide both parts of the ratio by their greatest common factor.

The first practice plan has a drill-to-rest ratio of 30:10. What is the simplified ratio?

3:1 15:5 30:1 10:30

Correct! Dividing 30:10 by 10 gives the simplified ratio 3:1.

Check that both parts of the ratio are divided by the same number.

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Hint

Multiply the drill time by the scale factor while keeping the ratio unchanged.

The second practice plan has a drill-to-rest ratio of 24:12. If the coaches make the plan 3 times longer while keeping the same ratio, how many minutes of drills will the new plan have?

Correct! The drill time is 24 minutes, and 24*3 = 72 minutes.

Remember that all parts of the ratio are multiplied by the same factor.

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Hint

Simplify both ratios before comparing them.

Tara compares the two plans. Plan 1 has a drill-to-rest ratio of 30:10 and Plan 2 has a ratio of 24:12. Which statement is correct?

Both plans have the same drill-to-rest ratio.Plan 1 has a larger drill-to-rest ratio, so it has more focused practice time.Plan 2 has a larger drill-to-rest ratio because 24 is greater than 10.The ratios cannot be compared because the total times are different.

Correct! Plan 1 simplifies to 3:1 and Plan 2 simplifies to 2:1, so Plan 1 has the greater drill-to-rest ratio.

Compare the simplified ratios, not just the original numbers.

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