Question

A solution of milk and water contains milk and water in the ratio of 3 : 2. Another solution of milk and water contains milk and water in the ratio of 2 : 1. Forty litres of the first solution is mixed with 30 litre of the second solution. The ratio of milk and water in the resultant solution is:

• A. 22 : 13
• B. 13 : 22
• C. 6 : 5
• D. 5 : 6

Answer 1

Answer:

A. 22 : 13

Solution:

Given:

Volume of first solution = 40 liters

Ratio of milk and water in first solution = 3 : 2

Volume of second solution = 30 liters

Ratio of milk and water in second solution = 2 : 1

Calculation:

Volume of milk in first solution $= (\frac{3}{5})\times{40} liters$

⇒ 24 liters

Volume of water in first solution $= (\frac{2}{5})\times{40} liters$

⇒ 16 liters

Volume of milk in second solution $=(\frac{2}{3})\times{30} liters$

⇒ 20 liters

Volume of water in second solution $= (\frac{1}{3})\times{30} liters$

⇒ 10 liters

Volume of milk in new mixture = Volume of milk in first solution + Volume of milk in second solution

⇒ (24 + 20) liters

⇒ 44 liters

Volume of water in new mixture = Volume of water in first solution + Volume of water in second solution

⇒ (16 + 10) liters

⇒ 26 liters

Ratio of milk and water in mixture $=\frac{44}{26}$

⇒ $\frac{22}{13}$

⇒ 22 : 13

∴ The ratio of milk and water in the resultant solution is 22 : 13