In a recent poll, 32% of the referees who were surveyed said that ejecting angry coaches was their favorite thing to do. If 152 referees gave this response, how many were surveyed in total?

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Mathematics

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In a recent poll, 32% of the referees who were surveyed said that ejecting angry coaches was their favorite thing to do. If 152 referees gave this response, how many were surveyed in total?

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Rachael Singleton · Answer 1

Answer: 475 referees were surveyed in total.

Step-by-step explanation:

Let x represent the number of referees that were surveyed.

In a recent poll, 32% of the referees who were surveyed said that ejecting angry coaches was their favorite thing to do. This means that the number of referees that gave this response is

32/100 * x = 0.32 * x = 0.32x

If 152 referees gave this response, then the total number of referees that were surveyed would be

0.32x = 152

x = 152/0.32 = 475