Question

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

Answer 1

Answer: (C)

53 : 115

Ratio of milk and water
$=(\frac{1}{6}\times 5+\frac{3}{8}\times 4+\frac{5}{12}\times 5):(\frac{5}{6}\times 5+\frac{5}{8}\times 4+\frac{7}{12}\times 5)$
$=(\frac{5}{6}+\frac{3}{2}+\frac{25}{12}):(\frac{25}{6}+\frac{5}{2}+\frac{35}{12})$
$=\left(\frac{10+18+25}{12}\right):\left(\frac{50+30+35}{12}\right)$
$=\frac{53}{12}:\frac{115}{12}=53:115$