Question

In a mixture of 40 litres, the ratio of milk and water is 4:1. how much water must be added to this mixture so that the ratio of milk and water becomes 2:3?

a. 45
b. 40
c. 35
d. 30
e. 44

Answer 1

To change the ratio of milk to water from 4:1 to 2:3 in a 40-liter mixture, 40 liters of water must be added.

Step-by-step explanation:

The question involves a mixture of milk and water which initially has a ratio of 4:1 in a 40-liter solution. To find the amount of water that must be added to change this ratio to 2:3, we start by breaking down the initial mixture. The 40 liters consists of 32 liters of milk (since milk is 4 parts of the total 5 parts) and 8 liters of water (1 part).

Let x be the volume of water to be added to achieve the new ratio of 2:3. With 32 liters of milk in the mixture, the resulting ratio in terms of the volume of water will be 32/(8 + x). We set this equal to the desired ratio:

32 / (8 + x) = 2 / 3

By cross-multiplying to solve for x, we get:

3 × 32 = 2 × (8 + x)

96 = 16 + 2x

80 = 2x

x = 40 liters

So, 40 liters of water must be added to change the ratio to 2:3.