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23 November, 09:45

A clothing store sells t-shirts, t, for $8 a shirt, shorts, s, for $12, and hats, h, for $10 each. The store earned $464 revenue last month. The store sold three times as many T-shirts than hats, and twice as many shorts as hats. Using the substitution method, how many t-shirts, shorts, and hats did the store sell?

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  1. 23 November, 11:44
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    Let x be the variable for a t-shirt for $8.

    Let y be the variable for shorts for $12.

    Let z be the variable for the hats that cost $10 each.

    We have the expression 1 below:

    $464 = $8x + $12y + $10z

    other expressions:

    3z = x

    2z = y

    By substitution we can solve each variable:

    464 = 8 (3z) + 12 (2z) + 10z

    464 = 24z + 24z + 10z

    464 = 58z

    z = 8

    Solve for x andy:

    3z=x

    3*8 = 24=x

    2z=y

    2*8 = 16 = y

    The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.
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