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Question 3 • Quiz

Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2 percent fat, the cream contains 18 percent fat, and the mixture contains 6 percent fat, how much cream is in the mixture?

Answer
A
4 fifths cup
B
1 fourth cup
C
1 fifth cup
D
3 fourths cup

Explanation

Let x be the number of cups of cream, so the milk is 1 − x cups. The fat balance is 0.18x + 0.02(1 − x) = 0.06, which gives 0.16x = 0.04 and x = 0.25. Therefore, the mixture contains 1 fourth cup of cream.

AI-written and checked against the verified answer.

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