The sixth-grade talent show is next week. Each year, every performance is allotted the same amount of time. Last year, there were 10 performances, and the show lasted 60 minutes. This year, there are 15 performances.

Question

How long will this year's talent show last?

Answer 1

To determine the duration of this year's talent show, we first need to find out how much time each performance had during last year's show.

Last year, there were 10 performances in a total time of 60 minutes. So, the time allotted for each performance can be calculated as follows:

\[ \text{Time per performance} = \frac{\text{Total time}}{\text{Number of performances}} = \frac{60 \text{ minutes}}{10 \text{ performances}} = 6 \text{ minutes per performance} \]

Now that we know that each performance lasts 6 minutes, we can calculate the total time for this year's talent show, which has 15 performances:

\[ \text{Total time for this year} = \text{Time per performance} \times \text{Number of performances} = 6 \text{ minutes per performance} \times 15 \text{ performances} = 90 \text{ minutes} \]

Therefore, this year's talent show will last 90 minutes.