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Alicia had two containers. The first was 5/6 full of water and the sec

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Bunuel
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Alicia had two containers. The first was 5/6 full of water and the sec [#permalink] New post   15 May 2019, 03:18
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Alicia had two containers. The first was \(\frac{5}{6}\) full of water and the second was empty. She poured all the water from the first container into the second container, at which point the second container was \(\frac{3}{4}\) full of water. What is the ratio of the volume of the first container to the volume of the second container?

A. 5/8
B. 4/5
C. 7/8
D. 9/10
E. 11/12
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Re: Alicia had two containers. The first was 5/6 full of water and the sec [#permalink] New post   15 May 2019, 03:35
Bunuel wrote:
Alicia had two containers. The first was \(\frac{5}{6}\) full of water and the second was empty. She poured all the water from the first container into the second container, at which point the second container was \(\frac{3}{4}\) full of water. What is the ratio of the volume of the first container to the volume of the second container?

A. 5/8
B. 4/5
C. 7/8
D. 9/10
E. 11/12


tricky question;
vol of A = 5/6 full ;empty 1/6
vol of B = 3/4 full ; empty 1/4
now given
pouring 5/6 of A makes B 3/4 full
or say 3/4 * A = 5/6 * B
B/A =(3/4 )/ (5/6) = 9/10
IMO D
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Re: Alicia had two containers. The first was 5/6 full of water and the sec [#permalink] New post   16 May 2019, 16:58
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Bunuel wrote:
Alicia had two containers. The first was \(\frac{5}{6}\) full of water and the second was empty. She poured all the water from the first container into the second container, at which point the second container was \(\frac{3}{4}\) full of water. What is the ratio of the volume of the first container to the volume of the second container?

A. 5/8
B. 4/5
C. 7/8
D. 9/10
E. 11/12


Another way:

Let volume of first container V = 18, water in V = 5/6 * 18 = 15

Let volume of first container W, 3/4 * W = 15.....W = 20

V/C = 18/20 = 9/10

Answer: D
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Re: Alicia had two containers. The first was 5/6 full of water and the sec [#permalink] New post   16 May 2019, 17:05
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Bunuel wrote:
Alicia had two containers. The first was \(\frac{5}{6}\) full of water and the second was empty. She poured all the water from the first container into the second container, at which point the second container was \(\frac{3}{4}\) full of water. What is the ratio of the volume of the first container to the volume of the second container?

A. 5/8
B. 4/5
C. 7/8
D. 9/10
E. 11/12


\(\frac{5}{6}\) of the first container is equal to \(\frac{3}{4}\) of the second container:

\(\frac{5}{6}f = \frac{3}{4}s\)

Multiplying both sides by 12, we get:

\(10f = 9s\)
\(\frac{f}{s} = \frac{9}{10}\)

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Re: Alicia had two containers. The first was 5/6 full of water and the sec [#permalink]
16 May 2019, 17:05
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