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6 April, 02:21

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts were sold. how many of each color were sold?

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  1. 6 April, 02:33
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    For this problem you have yo set up two equations.

    White shirts = w Yellow shirts = y

    1st: w + y = 21

    2nd: 9.95w + 11.50y = 235.30

    Now we're going to do system of equations using substitution.

    If w + y = 21, then y = 21 - w

    If y = 21 - w, then you can substitute this in the second equation for y.

    9.95w + 11.50 (21 - w) = 235.30

    9.95w + 241.5 - 11.50w = 235.30

    -1.55w + 241.5 = 235.30

    -1.55w = - 6.2

    w = 4, so 4 whites shirt were sold.

    Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

    w + y = 21

    4 + y = 21

    y = 17

    So 17 yellow shirts were sold and 4 white shirts were sold.
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