Name: Unitary Method
Uploaded: 2019-07-19
Duration: 3 min 22 s
Description: We can use the unitary method to get the best deal when buying commodities like sugar and find out which brand offers more quantity for less money. Watch thi...

Question

A vessel contains

56

litres of a mixture of milk and water in the ratio

5 : 2

. How much water should be mixed with it so that the ratio of milk to water may be

4 : 5

?

Accepted Answer

Total mixture of water and milk is $56$ litres.

The ratio of milk to water is $5 : 2$

Sum of the terms of the ratio $= 5 + 2 = 7$

Quantity of milk in the mixture $= \frac{5}{7} \times 56 = 40$ litres

Quantity of water in the mixture $= 56 - 40 = 16$ litres

Let $x$ litres of water should be added to the mixture to make the ratio of milk and water $4 : 5$

$\frac{40}{16 + x} = \frac{4}{5}$

$\Rightarrow 4 (16 + x) = 5 \times 40$

$\Rightarrow 16 + x = \frac{5 \times 40}{4} = 50$

$\Rightarrow x = 50 - 16 = 34$

Thus, $34$ litres of water to be added to make ratio of milk and water $4 : 5$

A vessel contains $56$ litres of a mixture of milk and water in the ratio $5 : 2$ . How much water should be mixed with it so that the ratio of milk to water may be $4 : 5$ ?

Important Questions on Ratio and Proportion

Learn and Prepare for any exam you want !

A vessel contains 56 litres of a mixture of milk and water in the ratio 5:2. How much water should be mixed with it so that the ratio of milk to water may be 4:5?

Important Questions on Ratio and Proportion

Learn and Prepare for any exam you want !

A vessel contains $56$ litres of a mixture of milk and water in the ratio $5 : 2$ . How much water should be mixed with it so that the ratio of milk to water may be $4 : 5$ ?