In two containers A and B, milk and water are in the ratios 4 : 3 and 9 : 4 respectively. The two mixtures are mixed in the ratio 3 : 1 by volume. Find the ratio of milk to water in the new mixture.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 219 : 145
Take 3 litres of A and 1 litre of B and add up the milk and the water separately.
3 litres of A: milk \(=3\times\frac{4}{7}=\frac{12}{7}\), water \(=3\times\frac{3}{7}=\frac{9}{7}\)
1 litre of B: milk \(=\frac{9}{13}\), water \(=\frac{4}{13}\)
Milk \(\displaystyle =\frac{12}{7}+\frac{9}{13}=\frac{156+63}{91}=\frac{219}{91}\)
Water \(\displaystyle =\frac{9}{7}+\frac{4}{13}=\frac{117+28}{91}=\frac{145}{91}\)
Milk : water in the new mixture \(=\) 219 : 145.