A fish tank is half full of water. If 10 gallons of water were added,

Question

A fish tank is half full of water. If 10 gallons of water were added, the tank would be 7/8 full. What is the capacity of the tank (in gallons)?

A. 11 3/7
B. 22 3/7
C. 26 2/3
D. 30 3/8
E. 32 1/8

Kudos for a correct  solution .

balamoon · Answer

Solution -

Let capacity of tank be X gallons.

Water level increased to 7/8 from 1/2 when 10 gallons of water added ---> (7/8 - 1/2)*X = 10

X = 80/3 = 26 2/3. ANS C.

GMATinsight · Answer

Capacity = C

Water in Tank = C/2

C/2 + 10 = 7C/8

i.e. 3C/8 = 10

i.e. C = 80/3 gallons = 26 2/3

Answer: Option C

ENGRTOMBA2018 · Answer

Let V be the total volume fo the tank. Given, initially the tank is half filled ---> V/2 and then when 10 gallons are added it becomes 7/8 full.

Thus, (V/2) + 10 = 7/8 V ----> 3V/8 = 10 ----> V =80/3 ----> 26 2/3 ---> C is the correct answer.

robinpallickal · Answer

Let x be the volume of the tank

(x/2+10)/x = 7/8

Solving for x, x = 80/3 = 26 something

TimeTraveller · Answer

Let the capacity of the tank be  x  gallons. Initially the tank contains  \frac{x}{2}  gallons of water.

\frac{x}{2} + 10 = \frac{7x}{8}

\frac{7x}{8} - \frac{x}{2} = 10

\frac{14x - 8x}{16} = 10

6x = 160

x = \frac{160}{6} = \frac{80}{3} = 26 \frac{2}{3} . Ans (C).

ashokk138 · Answer

Let x be the capacity of the tank. 
(7x/8) - (x/2) = 10 => Solving, x = 80/3 => 26 2/3

Option C.

chetan2u · Answer

\frac{x}{2}+10=\frac{7x}{8} .....
 10=\frac{3x}{8} ....
 x=\frac{80}{3} 
ans C

Bunuel · Answer

800score Official Solution:

Set G as the capacity of the tank. Now we translate the question: half of the tank plus ten gallons equals 7/8 of the tank. This can be written out as:
G/2 + 10 = (7/8)G.

Subtract G/2 from both sides and convert G/2 into (4/8)G, in order to give both fractions a common denominator. The equation then becomes:
10 = (7/8)G – (4/8)G
(3/8)G = 10.

Multiply both sides by 8/3:
G = 10(8/3) = 80/3 = 26.66 or 26 2/3 gallons.

The correct answer is choice (C).

narmit · Answer

X/2 + 10==7X/8,,,this gives X==80/3 which is equal to option-C

Regards
Naresh

Champagnereef · Answer

Let x be the capacity of the tank.
(7x/8) - (x/2) = 10 => Solving, x = 80/3 => 26 2/3

Option C.

mm229966 · Answer

X is the capacity
X/2 + 10 = 7X/8
4X + 80 = 7X
X = 80/3 = 26 2/3 - C.

bumpbot · Answer

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A fish tank is half full of water. If 10 gallons of water were added,

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