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22 January, 10:01

ne eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 245 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 618 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice

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  1. 22 January, 10:31
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    117mg/one eight-ounce glass of apple juice

    128mg/one eight-ounce glass of orange juice

    Step-by-step explanation:

    Let the milligram of Vitamin C in one eight-ounce glass of apple juice=x

    Let the milligram of Vitamin C in one eight-ounce glass of orange juice=y

    One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 245 milligrams of vitamin C.

    x+y=245

    Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 618 milligrams of vitamin C.

    2x+3y=618

    We solve simultaneously

    x+y=245

    2x+3y=618

    From the first equation, x=245-y

    Substitute into the second equation

    2 (245-y) + 3y=618

    490-2y+3y=618

    y=618-490=128

    Recall, x=245-y

    x=245-128=117

    Therefore, there are 117 milligram of Vitamin C in one eight-ounce glass of apple juice and 128 milligram of Vitamin C in one eight-ounce glass of orange juice.
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