Respuesta :
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:
[tex]3x+y=47...(1)[/tex]
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:
[tex]7x+2y=107...(2)[/tex]
We will use substitution method to solve our system of linear equations. From equation (1) we will get,
[tex]y=47-3x[/tex]
Substituting this value in equation (2) we will get,
[tex]7x+2(47-3x)=107[/tex]
[tex]7x+94-6x=107[/tex]
Upon combining like terms we will get,
[tex]7x-6x=107-94[/tex]
[tex]x=13[/tex]
Therefore, the salespeople earn $13 for the sale of a suit.
Let us substitute x=13 in equation (1).
[tex]3*13+y=47[/tex]
[tex]39+y=47[/tex]
[tex]y=47-39[/tex]
[tex]y=8[/tex]
Therefore, the salespeople earn $8 for the sale of a pair of shoes.
