One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 176.4 milligrams of vitamin C.Twoeight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 432.7 milligrams of vitamin C.How much vitamin C is in an eight-ounce glass of each type of juice?
A)Apple juice: 96.5 mg;Orange juice: 96.5 mg
B)Apple juice: 96.5 mg;Orange juice: 79.9 mg
C)Apple juice: 79.9 mg;Orange juice: 79.9 mg
D)Apple juice: 79.9 mg;Orange juice: 96.5 mg
E)Apple juice: 176.4 mg;Orange juice: 79.9 mg

Question

One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 176.4 milligrams of vitamin C.Twoeight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 432.7 milligrams of vitamin C.How much vitamin C is in an eight-ounce glass of each type of juice? ​
A)​Apple juice: 96.5 mg;Orange juice: 96.5 mg
B)Apple juice: 96.5 mg;Orange juice: 79.9 mg
C)​Apple juice: 79.9 mg;Orange juice: 79.9 mg
D)​Apple juice: 79.9 mg;Orange juice: 96.5 mg
E)​Apple juice: 176.4 mg;Orange juice: 79.9 mg

Quizplus · Accepted Answer

Let x be the amount of vitamin C in an eight-ounce glass of apple juice, and y be the amount of vitamin C in an eight-ounce glass of orange juice. We can set up two equations based on the given information:
x + y = 176.4
2x + 3y = 432.7
Solving this system of equations, we get:
x = 96.5
y = 79.9
Therefore, an eight-ounce glass of apple juice contains 96.5 milligrams of vitamin C, and an eight-ounce glass of orange juice contains 79.9 milligrams of vitamin C. Thus, the answer is B.

One Eight-Ounce Glass of Apple Juice and One Eight-Ounce Glass