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15 November, 01:29

Jacks wild souvenirs shop is selling all shirts for $10 each and all flip flops for $5 per pair. At the end of one day jacks shirts and flip flops sales totaled $325 for $41 items. How many shirts and flip flops did jack sell?

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  1. 15 November, 01:31
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    Let x = the number of shirts sold

    Let y = the number of pairs of flip flops sold

    Because 41 items were sold, therefore

    x + y = 41 (1)

    Shirts sell for $10 each, and a pair of flip flops for $5 per pair (or $2.50 each). Total sales is $325.

    Therefore.

    10x + 5y = 325

    or, divide by 5 to obtain

    2x + y = 65 (2)

    Subtract (1) from (2).

    2x + y - (x + y) = 65 - 41

    x = 24

    From (1), obtain

    y = 41 - x = 41 - 24 = 17

    Answer:

    Jack sold 24 shirts and 17 pairs (or 34) of flip flops.
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