Question

A theater is hosting a three day production. The first night 2580 people attend and the second night 2920 are in attendance. How many people must attend the closing night's performance for the average attendance to be 3000 people?

Answer 1

Answer:

An average is just the total attendance numbers / the number of performances.

Let's let the number of people in the third show be equal to x so we can write this as a formula, it's easier to read. x is just "some number we don't know"

The average is

Average=Total attendance/3

So

3000=(2580+2920+x)/3

So let's multiply by that 3 on both sides, make x easier to find

Average*3=2580+2920+x ( * means multiplied)

The average is 3000

So

2580+2920+x=3000*3

2580+2920+x=9000

Then we subtract those other attendances to get x on its own.

x=9000-2580-2920

x=3500

Step-by-step explanation: