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A mixture contains alcohol and water in the ratio 4 : 7. If it contains 9 litres more water than alcohol, then find the quantity of water in the mixtu
Question

A mixture contains alcohol and water in the ratio 4 : 7. If it contains 9 litres more water than alcohol, then find the quantity of water in the mixture.

A.

24 litres

B.

21 litres

C.

20 litres

D.

18 litres

Correct option is B

Given:

Ratio of alcohol to water = 4 : 7

Water is 9 litres more than alcohol

Solution:
Let the common multiplying factor be x.
Then, alcohol = 4x, water = 7x
Difference = 7x − 4x = 3x = 9

=>\Rightarrow​ x = 3

Formula Used:

Water = 7x

x = 3

=>\Rightarrow Water = 7×3=21 litres7 \times 3 = 21 \text{ litres}​​

Thus, the correct option is (b) 21 litres

Alternate Method:

3 units = 9

1 unit = 3

hence water is 7 units then:

Water = 7 ×\times 3

= 21 litres

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