Irene R. answered • 10/10/20

Mechanical Engineer with 13+ years of Teaching Experience

Hi Karl,

Let's use the variable, x , to represent the number of boys.

The problem states that if we multiply the number of boys, x, by 3/2 and then add 5 , it will be equal to the number of girls or 32. In equation form, we can write (and solve) the following to show this situation:

__3__ x + 5 = 32

2

__3__ x + 5 - 5 = 32 - 5

2

__2 __•__3__ x = 27•__ 2__

3 2 3

x = 18 boys