A new mixture is made by mixing two mixtures of liquids A and B in the ratio 2 ∶ 1. The ratio of liquids A and B in the two mixtures id 4 ∶… — Answer & Discussion

A new mixture is made by mixing two mixtures of liquids A and B in the ratio 2 ∶ 1. The ratio of liquids A and B in the two mixtures id 4 ∶ 1 and 3 ∶ 2 respectively. Find the quantity of liquid A in 30 litres of new mixture.

A8 litres
B10 litres
C14 litres
D22 litres

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Discussion 1

CCommunity18 Jun 2019

Ratio of new mixture = 2 ? 1

Quantity of first mixture in 30 litres of new mixture = 2/3 × 30 = 20 litres

Ratio of first mixture = 4 ? 1

Quantity of liquid A in 20 litres of first mixture = 4/5 × 20 = 16 litres

Quantity of second mixture in 30 litres of new mixture = 1/3 × 30 = 10 litres

Ratio of second mixture = 3 ? 2

Quantity of liquid A in 10 litres of second mixture = 3/5 × 10 = 6 litres

∴ Quantity of liquid A in 30 litres of new mixture = 16 + 6 = 22 litres