Bucket A has twice the capacity of bucket B, and bucket A has the capa

Question

Bucket A has twice the capacity of bucket B, and bucket A has the capacity of bucket C. Bucket B is full of water and bucket C is half full of water. When the water from bucket B is poured into bucket C, bucket C will be filled to what fraction of its capacity?

(A) \(\frac{1}{4}\)

(B) \(\frac{2}{3}\)

(C) \(\frac{1}{3}\)

(D) \(\frac{1}{6}\)

(E) \(\frac{3}{4}\)

(A)  \frac{1}{4}

(B)  \frac{2}{3}

(C)  \frac{1}{3}

(D)  \frac{1}{6}

(E)  \frac{3}{4}

Chethan92 · Answer

topper97 , Can you recheck the highlighted part? the question seems incomplete.

Bunuel · Answer

__________________
Fixed that. Thank you.

EncounterGMAT · Answer

Yeah fixed. There was some problem with the fraction. It wasn't visible in the site.

Posted from my mobile device

Chethan92 · Answer

A = 2B.
A = 1/3C.

Then 6B = C.
Let the capacity of C be 6 liters and B be 1 liter.
Now, B is full, means B has 1 liter.
C is half full, means C has 3 liters.
Adding 1 liter of B to C, C becomes 4.
Full capacity of C = 6.
Currently filled till 4 liters.
4/6 = 2/3

B is the answer.

bebs · Answer

Good question. Here is how I solved it:

A = 2B = 1/3C, therefore C = 6B

B is full, and C at half capacity implies C = 3B.

Add B to C ==> B+C=4B

Fraction of C filled = 4B/6B = 2/3 (answer choice B)

nkin · Answer

Good question to use numbers and plug in to get answer faster.

Question gives A = 2B = C/3, seeing this equation, let's take C's capacity to be 30. If C = 30, then A = 10 and B = 5.

Now C is half full so has 15 units and add B's 5 units to make it 20 units.
So, C has 20 units filled out of total 30 units capacity.
So, fraction = 20/30 or 2/3

Hence, Option B

ScottTargetTestPrep · Answer

Let’s say buket A has a capacity of 12, so bucket B has a capacity of 6, and bucket C has a capacity of 36.

Thus, when 6 from bucket B is poured into 18 of bucket C, bucket C is now 24/36 = 2/3 full.

Answer: B

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Bucket A has twice the capacity of bucket B, and bucket A has the capa

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Bucket A has twice the capacity of bucket B, and bucket A has the capa

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