A one-cup serving of orange juice Contains 4 mg less than four times the amount of vitamin C as a one cup serving of pineapple juice. Servings of two juices contain a total of 121 mg of vitamin C. How many milligrams of vitamin C are in a serving of each type of juice?

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calculista calculista · Answer 1 · 2020-02-23T03:05:13+01:00

Answer:

The milligrams of vitamin C in a serving of orange juice is 96 and the milligrams of vitamin C in a serving of pineapple juice is 25

Step-by-step explanation:

Let

x ----> the milligrams of vitamin C in a serving of orange juice

y ----> the milligrams of vitamin C in a serving of pineapple juice

we know that

Servings of two juices contain a total of 121 mg of vitamin C

so

[tex]x+y=121[/tex] -----> equation A

A one-cup serving of orange juice contains 4 mg less than four times the amount of vitamin C as a one cup serving of pineapple juice

so

[tex]x=4y-4[/tex] ----> equation B

substitute equation B in equation A

[tex]4y-4+y=121[/tex]

solve for y

[tex]5y=121+4\\5y=125\\y=25\ mg[/tex]

Find the value of x

[tex]x=4(25)-4=96\ mg[/tex]

therefore

The milligrams of vitamin C in a serving of orange juice is 96 and the milligrams of vitamin C in a serving of pineapple juice is 25