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8 August, 22:12

A store is mixing up two types of nuts, peanuts and cashews into a 50 lb barrel. peanuts sell for $4 a pound and cashews sell for $7 a pound. If the store wants to sell the mix for $5.75 a pound, how many pounds of each nut should be put into the mix?

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  1. 8 August, 22:13
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    Cashew 12.5lb

    Peanuts 37.5lb

    Step-by-step explanation:

    Let the number of pounds of cashewnuts and peanuts be c and p respectively.

    Firstly, the total mass of the nuts is 50.

    This means:

    c + p = 50

    Now let's work with the money

    4p + 7c = 4.75 (50)

    From the first equation, let c = 50 - p

    Substitute this into the second equation.

    4p + 7 (50 - p) = 237.5

    4p + 350 - 7p = 237.5

    3p = 112.5

    P = 112.5/3 = 37.5lb

    For Cashew c = 50 - p = 50 - 37.5 = 12.5lb
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