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: Calculate the total attendance for three shows

The formula for the average is $\text{Average}=\frac{\text{Total}}{\text{Number of items}}$. Given the average attendance per show is $3000$ and the number of shows is $3$, the total attendance for three shows is $3000\times3 = 9000$.

Step2: Calculate the sum of the first two - show attendances

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

Step3: Calculate the attendance of the third show

Let the attendance of the third show be $x$. We know that $2580 + 2920+x=9000$. Then $x=9000-(2580 + 2920)$. Substitute $2580 + 2920 = 5500$ into the equation, we get $x=9000 - 5500=3500$.

Answer:

$3500$