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# A certain barrel is 1/5 full. When k liters of liquid are added to the

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Joined: 02 Sep 2009
Posts: 51215
A certain barrel is 1/5 full. When k liters of liquid are added to the  [#permalink]

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24 Aug 2018, 00:17
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Difficulty:

15% (low)

Question Stats:

87% (01:10) correct 13% (01:35) wrong based on 46 sessions

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A certain barrel is 1/5 full. When k liters of liquid are added to the barrel, it becomes 2/3 full. In terms of k, what is the capacity of the barrel, in liters?

A. 3/8*k
B. 7/15*k
C. 15/7*k
D. 7/3*k
E. 8/3*k

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Re: A certain barrel is 1/5 full. When k liters of liquid are added to the  [#permalink]

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24 Aug 2018, 00:30
Bunuel wrote:
A certain barrel is 1/5 full. When k liters of liquid are added to the barrel, it becomes 2/3 full. In terms of k, what is the capacity of the barrel, in liters?

A. 3/8*k
B. 7/15*k
C. 15/7*k
D. 7/3*k
E. 8/3*k

Let the capacity of barrel :- C

When k liters of liquid are added to the barrel, it becomes 2/3 full
Or, C/5+k=2/3C
Or, C= 15/7*k

Ans. (C)
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PKN

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A certain barrel is 1/5 full. When k liters of liquid are added to the  [#permalink]

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24 Aug 2018, 03:33
Bunuel wrote:
A certain barrel is 1/5 full. When k liters of liquid are added to the barrel, it becomes 2/3 full. In terms of k, what is the capacity of the barrel, in liters?

A. 3/8*k
B. 7/15*k
C. 15/7*k
D. 7/3*k
E. 8/3*k

Let assume the capacity be x.

$$\frac{1}{5}$$x + k =$$\frac{2}{3}$$x

k = $$\frac{2x}{3}$$ - $$\frac{x}{5}$$

k = $$\frac{10x - 3x}{15}$$

k =$$\frac{7x}{15}$$

x =$$\frac{15}{7}k$$

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Re: A certain barrel is 1/5 full. When k liters of liquid are added to the  [#permalink]

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24 Aug 2018, 06:57
Bunuel wrote:
A certain barrel is 1/5 full. When k liters of liquid are added to the barrel, it becomes 2/3 full. In terms of k, what is the capacity of the barrel, in liters?

A. 3/8*k
B. 7/15*k
C. 15/7*k
D. 7/3*k
E. 8/3*k

Let the total volume of the barrel be 15 litres

Initially, the barrel was filled up to 3 liters then "k" liters liquid was added and the final volume becomes 10 liters, thus k = 7 liters

SO, The capacity of the barrel in terms of k ( =7) is 15/7 litres, Answer must be (C)
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Abhishek....

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Re: A certain barrel is 1/5 full. When k liters of liquid are added to the &nbs [#permalink] 24 Aug 2018, 06:57
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