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27 September, 09:30

Ace Hardware sells boxes of wrenches ($ 100) and hammers ($300). Howard ordered 40 boxes of wrenches and hammers for $ 8,400. How many boxes of each are in the order.

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  1. 27 September, 13:01
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    100w+300h=8400

    h+w=40, h=40-w, using this h in the first equation gives you:

    100w+300 (40-w) = 8400 perform the indicated multiplication on left side

    100w+12000-300w=8400 combine like terms on the left side

    -200w+12000=8400 subtract 12000 from both sides

    -200w=-3600 divide both sides by - 200

    w=18, and since h=40-w

    h=40-18=22

    So Howard ordered 18 boxes of wrenches and 22 boxes of hammers.
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