Question

MANUFACTURING A shoe manufacturer spends $2.50 to make sandals and $4 to make running shoes. During a typical month, they spend $2500 manufacturing sandals and running shoes. During the month of April, they double the pairs of sandals manufactured and spend a total of $3000.

How many pairs of sandals and running shoes does the company make during a typical month?

Answer 1

500 sandals and 300 running shoes

Explanation:

Answer 2

200 pairs of sandals

Explanation:

Represent the sandals with x and the running shoes with y.

In a typical month:

`Total = 2500`

In April

`Total = 3000`

Required

The number of sandals in a typical month

In a typical month:

If 1 sandal costs 2.50, then x costs 2.50x

If 1 running shoe costs 4, then y costs 4y

The total is:

`2.50x + 4y = 2500`

In April:

If 1 sandal costs 2.50, then 2x costs 5x ---- we used 2x because the pairs is doubled

If 1 running shoe costs 4, then y costs 4y

The total is:

`5x + 4y = 3000`

The equations are:

`5x + 4y = 3000`

`2.50x + 4y = 2500`

Subtract

`5x - 2.50x + 4y - 4y = 3000 - 2500`

`2.50x = 500`

`x = (500)/(2.50)`

`x = 200`