Question

In 35 litre mixture, ratio of milk and water is 4 : 1. If 7 litre more water is added to the mixture, then the new ratio of milk and water will be:

• A. 1 : 1
• B. 2 : 3
• C. 3 : 2
• D. 2 : 1

Hint:

When solving mixture problems, determine the quantities of each component first, then adjust the quantities based on changes to the mixture.

Answer 1

The Correct Option is D

In the initial mixture, the ratio of milk to water is 4 : 1. This means in 35 litres of mixture, the quantity of milk and water is: \[ \text{Milk} = \frac{4}{5} \times 35 = 28 \text{ litres} \] \[ \text{Water} = \frac{1}{5} \times 35 = 7 \text{ litres} \] Step 1: When 7 litres more water is added, the total amount of water becomes: \[ 7 + 7 = 14 \text{ litres} \] Step 2: The new ratio of milk to water is: \[ \text{Milk} : \text{Water} = 28 : 14 = 2 : 1 \] Thus, the new ratio of milk and water is 2 : 1.