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22 January, 19:10

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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  1. 22 January, 19:53
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    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.
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