One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. Write a system of equations that can be used to determine how many walking shoes and running shoes are on the display.

For this case, the first thing we must do is define variables:

x: walking shoes

y: running shoes

We now write the system of equations:

There are 135 pairs of shoes in this display:

x + y = 135

There are 1.5 times as many pairs of walking shoes as there are running shoes on display:

x = 1.5y

Solving the system:

x = 81

y = 54 Answer:

x + y = 135

x = 1.5y

x = 81

y = 54