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It takes Josh 3 minutes to solve 5 math problems. If this relationship represents a direct variation, how many math problems can Josh solve in 24 minutes?

A) 8
B) 10
C) 12
D) 15

User Mtanti
by
8.3k points

1 Answer

7 votes

Final answer:

To solve this problem, we can set up a proportion using the given information. Josh can solve 1 math problem in 3/5 minutes. By setting up the proportion 1/3 = x/24, we find that Josh can solve 8 math problems in 24 minutes.

Step-by-step explanation:

To solve this problem, we can set up a proportion using the given information. We know that it takes Josh 3 minutes to solve 5 math problems, so that means he can solve 1 math problem in 3/5 minutes. We can set up the proportion: 1/3 = x/24, where x is the number of math problems Josh can solve in 24 minutes. To solve for x, we can cross multiply and divide: 3x = 24, x = 8. Therefore, Josh can solve 8 math problems in 24 minutes.

User Robertwest
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