Question

4) A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47 in commission for selling 3 suits and a pair of shoes. The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes.

a) Write a system of equations to represent the situation. Explain what your x and y will represent.


b) Solve the system of equations.


c) How much commission does she earn for selling each suit and each pair of shoes?

Answer 1

s- commision for one suit, p- commision for a pair os shoes
a) 47 =3s+p
107=7s+2p

b) 47 =3s+p | -2
107=7s+2p

-94= -6s-2p
107=7s+2p
--------------------
13 = 7s-6s
s=13 $

47= 3*13+p
47=39+p
p=47-39
p=8$
c) the answer is: 13$ for a suit and 8 $ for a pair of shoes