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19 July, 13:03

Matt and ming are selling fruit for a school funraiser. Custumers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of 203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of 220. Find the cost of each oof one small box of oranges and one big box of oranges.

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  1. 19 July, 13:57
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    X = small boxes and y = large boxes

    11x + 11y = 220 ... reduce ... x + y = 20 ... x = 20 - y

    3x + 14y = 203

    3 (20 - y) + 14y = 203

    60 - 3y + 14y = 203

    -3y + 14y = 203 - 60

    11y = 143

    y = 143/11

    y = 13 < = = = large boxes cost $ 13

    x + y = 20

    x + 13 = 20

    x = 20 - 13

    x = 7 < = = = small boxes cost $ 7
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