Question

Carla and Benicio work in a men's clothing store. They earn commission from each suit and each pair of shows they sell. For selling 3 suits and one pair of shoes, Carla has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. How much do the salespeople earn for the sale of a suit? For the sale of a pair of shoes?

Answer 1

Answer:

The salespeople earn for the sale of a suit = $13.

The salespeople earn for the sale of a pair of shoes = $8.

Step-by-step explanation:

Let x be the commission for each suit and y be commission for each pair of shoes.

We have been given that for selling 3 suits and one pair of shoes, Carla has earned $47 in commission. We can represent this information as:

$3x+y=47...(1)$

We are also told that for selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. We can represent this information as:

$7x+2y=107...(2)$

We will use substitution method to solve our system of linear equations. From equation (1) we will get,

$y=47-3x$

Substituting this value in equation (2) we will get,

$7x+2(47-3x)=107$

$7x+94-6x=107$

Upon combining like terms we will get,

$7x-6x=107-94$

$x=13$

Therefore, the salespeople earn $13 for the sale of a suit.

Let us substitute x=13 in equation (1).

$3*13+y=47$

$39+y=47$

$y=47-39$

$y=8$

Therefore, the salespeople earn $8 for the sale of a pair of shoes.