Sarah pours four ounces of coffee into an eight-ounce cup and four ounces of cream into a second cup of the same size. She then transfers half the coffee from the first cup to the second and, after stirring thoroughly, transfers half the liquid in the second cup back to the first. What fraction of the liquid in the first cup is now cream?

Question

Jovany Castillo

Mathematics

30 January, 03:39

Sarah pours four ounces of coffee into an eight-ounce cup and four ounces of cream into a second cup of the same size. She then transfers half the coffee from the first cup to the second and, after stirring thoroughly, transfers half the liquid in the second cup back to the first. What fraction of the liquid in the first cup is now cream?

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Answers (1)

Know the Answer?

Lorenzo Stuart · Answer 1

2/5

Step-by-step explanation:

4ounces of coffee in cup 1

4 ounces of cream in cup 2

In the first step pour 4/2=2 ounces of coffee from cup 1 to cup 2, getting:

2 ounces of coffee in cup 1

2 ounces of coffee and 4 ounces of cream in cup 2

In the second step we pour 2/2=1 ounce of coffee and 4/2=2 ounces of cream from cup 2 to cup 1, getting:

2+1=3 ounces of coffee and 0+2=2ounces of cream in cup 1

so the answer is 2/5