Dimitri is to plan the school talent show. each performer for the talent show has 6 minutes for his or her performance, which includes transition 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?

The talent show can accommodate 21 different performances.

Explanation:

The case says that the entire show will lasts 150 minutes and that the introduction lasts 24 minutes. So, you have to subtract the time of the introduction from the duration of the show:

150-24= 126

Now, you have that for the performances there will be 126 minutes available and you need to divide this by 6 minutes which is the time that each performer has in order to get the number of performances that the talent show can acommodate:

126/6= 21