Question

Javier designs leather shoes at his workshop. He charges $45 for women's shoes and $50 for men's shoes. He needs to make $2,500 per week to meet his expenses. This situation can be given by 45x + 50y = 2,500, where x is the number of women's shoes and y is the number of men's shoes designed by Javier. If he does not have any female customers during a particular week, how many male customers does he need to meet his expenses? (x 0, y 0, x and y take only integer values) A. 25 B. 35 C. 45 D. 50

Answer 1

Option D. 50 pairs of men's shoes.

Explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that the situation is given by the following expression:

`45x+50y=2,500`

Where
`x` is the number of women's shoes and
`y` the numbers of men's shoes.

2. Therefore, if he does not have females costumers in a particular week, you have:

`x=0`

3. Substitute this into the first expression and solve for
`y`:

`45(0)+50y=2,500\\50y=2,500\\y=50`