Question

As of a certain date there had been a total of 17,589 performances of two shows on Broadway, with 3125 more performances of show a then show B. How many performances were there of each show?

Answer 1

There are 10357 performances of show a and 7232 performances of show b.

Explanation:

Answer 2

There are 10357 performances of show a and 7232 performances of show b.

Explanation:

We can solve this question using a system of equations.

I am going to say that:

a is the number of performances of show a.

b is the number of performances of show b.

Total of 17,589 performances

This means that
`a + b = 17589`

3125 more performances of show a then show B.

This means that
`a = 3125 + b`

So

`a + b = 17589`

`3125 + b + b = 17589`

`2b = 17589 - 3125`

`2b = 14464`

`b = (14464)/(2)`

`b = 7232`

`a = 3125 + b = 3125 + 7232 = 10357`

There are 10357 performances of show a and 7232 performances of show b.