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26 May, 15:55

Power Standard 7: Real world problemsA local organic farmer sold 8 boxes of peaches and 6 boxesof tomatoes to one customer for $82. A second customerpurchased 6 boxes of peaches and 7 boxes of tomatoes. Shespent $79. How much did a box of peaches and a box oftomatoes cost? Write and solve a system of equations. Showyour steps.

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  1. 26 May, 18:45
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    Peaches cost $5 and Tomatoes cost $7 per box.

    Step-by-step explanation:

    Let p be the price per box of peaches and t the price of a box of tomatoes. So we have the system:

    8p + 6t = 82

    6p + 7t = 79

    Multiply the first equation by 3 and the second by - 4:

    24p + 18t = 246

    -24p - 28t = - 316 Adding:

    - 10t = - 70

    t = 7

    Substituting for t in the first equation:

    8p + 6 (7) = 82

    8p = 40

    p = 5.
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