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13 December, 08:25

A grocer mixes peanuts that cost $2.49 per pound and walnuts that cost $3.89 per pound to make 100 pounds of a mixture that costs $3.19 per pound. how much of each kind of nut is put into the mixture

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  1. 13 December, 10:37
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    Let a be the amount of peanuts; and

    Let b the amount of walnuts

    Equation 1 would be: A + B = 100

    249a + 389b = 319 (100)

    Equation 2 would be: 249a + 389b = 31900

    From equation 1:

    a = 100 - b

    249 (100 - b) + 389b = 31900

    24900 - 249b + 389b = 31900

    140b = 7000

    b = 50 lbs

    then from equation 1:

    A + 50 = 100

    A = 50 pounds
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