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:
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:
We will use substitution method to solve our system of linear equations. From equation (1) we will get,
Substituting this value in equation (2) we will get,
Upon combining like terms we will get,
Therefore, the salespeople earn $13 for the sale of a suit.
Let us substitute x=13 in equation (1).
Therefore, the salespeople earn $8 for the sale of a pair of shoes.