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

Question

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

PKN · Answer

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)

KSBGC · Answer

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

The best answer is C.

Abhishek009 · Answer

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)

bumpbot · Answer

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

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

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