Question

Dimitri is helping to plan the school talent show. Each performer for the talent show has 6 66 minutes for his or her performance, which includes transition time between performances. If the introduction for the talent show is 2 4 2424 minutes long and the entire show, including the introduction, will last 1 5 0 150150 minutes, how many different performances can the talent show accommodate?

Answer 1

The talent show consists of introduction and talent performance. It could be written into this equation
Talent show duration= introduction + talent performance

Each performer for the talent show has 6 minutes for their show, the introduction of the talent show is 24 minutes, and the total duration should be 150 minutes. Then, maximum performance count of the show would be:

Talent show duration= introduction + talent performance
150 min = 24 min + (performance count * 6min)
performance count = (150min - 24min) / 6 min
performance count=21