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Gnom [1K]
2 years ago
9

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?
Mathematics
1 answer:
Ainat [17]2 years ago
7 0

Answer:

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

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Step-by-step explanation:

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The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

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