Dimitri is helping to plan the school talent show. Each performer for the talent show has 6 minutes for his or her performance, which includes translation time between performances. If the introduction for the talent show is 24 minutes long and the entire show, including the introduction, will last 150 minutes, how many different performances can the talent show accommodate?

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Solution

The correct option is A 21
The total duration of show is 150 min but it is given that there is introduction for 24 minutes.

So first we need to subtract 24 minutes from total duration.

150 - 24 = 126 minutes

So performances went on for 126 minutes. Each performer take 6 minutes for his or her performance

Therefore, number of performance $= \frac{126}{6}$ = 21

Hence, the correct answer is option A.

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