Question

problem solving how many people must attend the third show so that the average attendance per show is 3000? theater attendance people need to attend the third show.

Explanation:

Step1: Recall average formula

The average formula is $\text{Average}=\frac{\text{Sum of values}}{\text{Number of values}}$. Here, the number of shows (values) $n = 3$, and the average attendance $\text{Average}=3000$. So the total attendance for 3 shows should be $3\times3000 = 9000$.

Step2: Calculate sum of first - two shows

The attendance of the first show is 2580 and the second show is 2920. The sum of the attendance of the first two shows is $2580 + 2920=5500$.

Step3: Find attendance of third show

Let the attendance of the third show be $x$. We know that $5500 + x=9000$. Solving for $x$, we get $x=9000 - 5500=3500$.

Answer:

3500