Question

A salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he sells. After selling 13 pairs of shoes in a day, his commission was $48. How many pairs of each kind of shoe did he sell that day?

Answer 1

Answer: he sold 9 pairs of dress shoes.

he sold 4 pairs of athletic shoes.

Step-by-step explanation:

Let x represent the number of pairs of dress shoes that he sells.

Let y represent the number of pairs of athletic shoes that he sells.

The total number of pairs of shoes that he sold in a day is 13. It means that

x + y = 13

The salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he sells. The commission that he got on that day was $48. It means that

4x + 3y = 48- - - - - - - - - - 1

Substituting x = 13 - y into equation 1, it becomes

4(13 - y) + 3y = 48

52 - 4y + 3y = 48

- 4y + 3y = 48 - 52

- y = - 4

y = 4

x = 13 - y = 13 - 4

x = 9