Question

24) Three containers, A, B and C are having mixtures of milk and water in the ratio 1:5,3 :
5 and 5 : 7 respectively. If the capacities of the containers are in the ratio 5:4:5, then find
the ratio of the milk to the water, if the mixtures of all the three containers are mixed together
(a) 51 : 115
(b) 52: 115
(c) 53 : 115
(d) 54: 115
(e) None of these​

Answer 1

Verified answer ✔️

Ratio of milk and water

$( \frac{1}{6} \times 5 + \frac{3}{8} \times 4 + \frac{5}{12} \times 5)$

$( \frac{5}{6} \times 5 + \frac{5}{8} \times 4 + \frac{7}{12} \times 5)$

$( \frac{5}{6} + \frac{3}{2} + \frac{25}{12}) ..( \frac{25}{6} + \frac{5}{2} + \frac{35}{12} )$

$( \frac{10 + 18 + 25}{12} ):( \frac{50 + 30 + 35}{12} )$

$= \frac{53}{12} : \frac{115}{12} = 53:115$

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