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27 August, 06:03

A pound of oranges costs $2 less than a pound of pears. Together, ten pounds of oranges and eight pounds of pears cost $61. How much would three pounds of pears cost?

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  1. 27 August, 09:42
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    Let us say that:

    o = cost of oranges per pound

    p = cost of pears per pound

    so that:

    o = p - 2

    Therefore:

    10o + 8p = 61

    10 (p - 2) + 8p = 61

    10p - 20 + 8p = 61

    18p = 81

    p = 4.5

    p = $4.5 per pound

    So 3 pounds of pears would cost:

    total cost = 3 * 4.5

    total cost = $13.5
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