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Question

A one cup serving of orange juice contains 2mg less than four times the amount of vitamin C as a one-cup serving of pineapple juice. Servings of the two juices contain a total of 123mg of vitamin C. How many milligrams of vitamin C are in a serving of each type of juice?

Answer 1

A substitution should work here

Let the vitamin C in a one cup serving of Pineapple Juice = x

According the information given, the vitamin C in a one cup serving of Orange Juice = 4x - 2

Servings of the two juices indicate that together a cup of Pineapple Juice and a cup of Orange Juice contain a total of 123 mgs of vitamin C.

So

x + 4x - 2 = 123

Combining like terms, and solving for x should give the information needed.

5x = 125

x = 25

4x - 2 = 100 - 2 = 98

A one cup serving of Pineapple Juice contains 25 mg of vitamin C

A one cup serving of Orange Juice contains 98 mg of vitamin C

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