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

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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