A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture w… — Answer & Discussion

A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?

A110
B55
C220
D70

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Discussion 1

CCommunity04 Jul 2019

Let the mixture is of ‘13x’ litres

⇒ Quantity of milk in the mixture = 11x litres

⇒ Quantity of water in the mixture = 2x litres

After adding 35 litres of water, new mixture has (2x + 35) part water

After adding 35 Litres of water, the new mixture will contain twice as much pure milk as water.

⇒ 11x/ (2x + 35) = 2/1

⇒ 4x + 70 = 11x

⇒ 11x - 4x = 70

⇒ 7x = 70

⇒ x = 10 litres

∴ Quantity of milk in the mixture = 11x = 110 litres