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17 November, 23:13

Mike took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $15.95. Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38. Finally, he brought 3 shirts and 1 sports coat and paid $15.46. How much was he charged for each shirt, each pair of slacks, and each sports coat? Mike was charged $ nothing for each shirt, $ nothing for each pair of slacks, and $ nothing for each sports coat.

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  1. 17 November, 23:26
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    Each Shirt ≈ $2.49

    Each Pair of Slacks ≈ $5.99

    Each Sports Coat ≈ $7.99

    Step-by-step explanation:

    Mike took clothes to the cleaners three times last month.

    Let S denotes shirts, P denotes pair of slacks and C denotes sports coat.

    First, he brought 4 shirts and 1 pair of slacks and paid $15.95.

    Mathematically,

    4S + P = 15.95 eq. 1

    Then he brought 7 shirts, 4 pairs of slacks, and 1 sports coat and paid $49.38.

    Mathematically,

    7S + 4P + C = 49.38 eq. 2

    Finally, he brought 3 shirts and 1 sports coat and paid $15.46.

    Mathematically,

    3S + C = 15.46 eq. 3

    We are asked to find how much was he was charged for each shirt, each pair of slacks, and each sports coat.

    4S + P + 0C = 15.95 eq. 1

    7S + 4P + C = 49.38 eq. 2

    3S + 0P + C = 15.46 eq. 3

    We have 3 equations and 3 unknowns, they can be solved simultaneously using calculator or using online system of equations solver.

    Using online system of equations solver yields,

    S ≈ $2.49

    P ≈ $5.99

    C ≈ $7.99

    So that means Mike was charge $2.49 for each shirt, $5.99 for each pair of slacks and $7.99 for each sports coat.
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