If one man adds 6 litres of water to 10 litres of milk and another man adds 4 litres of water to 8 litres of milk, find the ratio of milk in the two mixtures.

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Accepted Answer

For the first mixture:
- Milk = 10 litres
- Water = 6 litres
- Total mixture = 10 + 6 = 16 litres
- Fraction of milk = $$ \frac{10}{16} = \frac{5}{8} $$

For the second mixture:
- Milk = 8 litres
- Water = 4 litres
- Total mixture = 8 + 4 = 12 litres
- Fraction of milk = $$ \frac{8}{12} = \frac{2}{3} $$

To find the ratio of milk in the two mixtures, compare the fractions:
$$
\frac{5}{8} : \frac{2}{3}
$$
$$
= \frac{5}{8} \div \frac{2}{3} = \frac{5}{8} 	imes \frac{3}{2} = \frac{15}{16}
$$

So, the ratio of milk in the two mixtures is **15 : 16**.

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