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

Question

Mathematics

Ryann Preston

15 June, 09:19

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

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Answers (1)

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Kamden Frost · 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.