A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds of eac

Question

A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells
for 40 cents per pound. How many pounds of each kind must he use to make 50
pounds he can sell for 85 cents per pound?

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MichaelMet 3 years 2021-09-03T18:41:13+00:00 1 Answers 8 views 0

Answers ( )

    0
    2021-09-03T18:42:32+00:00

    Given:

    Candy x = 0.90 per pound  

    Candy y = 0.40 per pound


    100 pounds * 0.85 per pound = 85


    x + y = 100

    0.90x + 0.40y = 85


    x = 100 – y


    0.90(100 – y) + 0.40y = 85

    90 – 0.90y + 0.40y = 85

    -0.50y = 85 – 90

    y = -5 / -0.50

    y = 10


    x = 100 – y

    x = 100 – 10

    x = 90


    0.90x + 0.40y = 85

    0.90(90) + 0.40(10) = 85

    81 + 4 = 85

    85 = 85

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