Question Part Points Submissions Used One eight-ounce glass of apple juice and o

Question

Question Part Points Submissions Used One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 182.3 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 454.5 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? apple juice     mg orange juice     mg Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 182.3 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 454.5 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? apple juice     mg orange juice     mg One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 182.3 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 454.5 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice? apple juice     mg orange juice     mg Question Part Points Submissions Used

Explanation / Answer

Equations:

a + r = 182.3

2a + 3r = 454.5

Multiply thru the 1st equation by 2 to get:

2a + 2r = 2*182.3

2a + 3r = 454.5

Subtract the 1st from the 2nd and solve for "r":

r = 454.5 - 2*182.3

r = 89.9 mg of vitamin C (amt of vit C in one orange)

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Since a + r = 182.3,

a + 89.9 = 182.3

a = 92.4 mg of vitamin C (amt of vit C in one apple)

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