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If a milkman mixes 4ℓ of water in 9ℓ of milk, how much water should he add to 36ℓ of milk to maintain the same ratio of milk and water?
Question

If a milkman mixes 4ℓ of water in 9ℓ of milk, how much water should he add to 36ℓ of milk to maintain the same ratio of milk and water?

A.

14 ℓ

B.

12 ℓ

C.

10 ℓ

D.

16 ℓ

Correct option is D

Given:
Water = 4ℓ, Milk = 9ℓ
Required: Water to be added to 36ℓ of milk to maintain the same ratio

Concept Used:
To maintain the same ratio, the proportion of water to milk must remain constant.

Solution:

Let the water to be added to 36ℓ of milk be x.

x36=49\frac{x}{36} = \frac{4}{9}

x = 49×36=16\frac{4}{9} \times 36 = 16

So, 16 ℓ of water should be added.

Thus, the correct answer is (d).

Alternative Method:

Water : Milk

4x : 9x 

9x = 36

x = 4

Water = 4x = 4 ×\times​ 4 = 16

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