One jar has milk and water in the ratio 3 : 1, another in the ratio 5 : 3. Equal amounts from the two jars are poured into a bowl. What is the ratio of milk to water in the bowl?

Explanation

1. 01

   Milk is $\frac{3}{4}$ of the first jar and $\frac{5}{8}$ of the second. With equal amounts, the bowl's share of milk is their average: $\frac{1}{2}\left(\frac{6}{8} + \frac{5}{8}\right) = \frac{11}{16}$.

2. 02

   Water is $\frac{5}{16}$, so milk : water $= 11 : 5$.