There are two vessels A & B of capacities 12 litres and 18 litres. They have different concentrations of alcohol. Equal quantity of mixture… — Answer & Discussion

There are two vessels A & B of capacities 12 litres and 18 litres. They have different concentrations of alcohol. Equal quantity of mixture is taken from both the vessels at the same time and poured into one another, then the concentration of alcohol become equal in both the vessels. Find the quantity of mixture taken from each vessel.

A4.8 litres
B6 litres
C7.2 litres
D8.4 litres

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Discussion 1

CCommunity15 Jun 2019

Since the answer does not depend on the concentration of alcohol in the vessels, we can take any concentration?

Suppose the concentration of alcohol in vessel A is 100% and that in vessel B is 0%;

Suppose ‘x’ litre is taken out from each vessel and poured into one another;

∴ Amount of alcohol in vessel A = (12 – x) litres

Amount of alcohol in vessel B = x litres

Since the concentration of alcohol become equal in both the vessels?

∴ (12 – x)/12 = x/18

⇒ 36 – 3x = 2x

⇒ x = 7.2

∴ Quantity of mixture taken from each vessel = 7.2 litres