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Bunuel
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Bunuel
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Simply apply alligation:

This will give us the ratio of volume:
A:B=3:1
Only option satisfies is A=51 & B=17
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12% of A's volume + 68% of B's volume gives 26% of the combined volume of A & B

That means 0.12A + 0.68B = 0.26(A+B)

Solving the equation, we get 0.42B = 0.14A

Which means 3B = A

A is 3 times that of B. The only options that satisfy this are A = 51 and B = 17.
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Let tank A have a capacity of X, and tank B have a capacity of Y.

taken from Tank A is 12% of X and from Tank B is 68% of Y.

together 12%X and 68%Y makes 26%(X+Y)

so we have 2 method to solve this:

1 Alligation method

X Y
12 68

26(X+Y=R)

42(Y-R) 14(R-X)

X/Y=42/14=3/1 and only option in table is 51/17

2 algebraic equation

0.12x+0.68y=0.26(x+y)

solving this we will get the same.

Hope it helps

Bunuel
In a chemistry lab, Tank A and Tank B are both filled to capacity with different solutions. During the day, 12 percent of the volume of liquid in Tank A was used for an experiment, and 68 percent of the volume of liquid in Tank B was used for an experiment. Together, these amounts equal 26 percent of the combined volume of liquid in Tank A and Tank B.

Select for Tank A and Tank B, the capacities, in cubic meters, of Tank A and Tank B, that are jointly consistent with the information. Make only two selections, one in each column.
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