Question

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. How much commission does she earn for selling each suit and each pair of shoes? Solve by substition

Answer 1

3s + h = $47
7s + 2h= $107


3s + h =$47
3s - 3s + h = $47 -3s
h = $47 - 3s

7s + 2($47 - 3s) = $107
7s + 94 -6s = 107
s + 94 = 107
s +94 -94 = 107- 94
s = 13

3(13) + h = $47
39 + h =$47
39 -39 + h= $47-39
h = 8

Check
7s + 2h= $107
7(13) + 2(8)= $107
91 + 16= 107
107 = 107

She earns $13 per suit sold and $8 per pair of shoes sold.