Question

In a mixture of 126 kg of milk and water, milk and water are in ratio 5 : 2. How much water must be added to the mixture to make this ratio 3 : 2?

Answer 1

Quantity of milk : Quantity of water = 5 : 2

∴ Quantity of milk = `126 xx 5/7` = 90 kg

`=>` Quantity of water = 126 – 90 = 36 kg

New ratio = 3 : 2

Let the quantity of water to be added be x kg

Then, milk : water = `90/(36 + x)`

`90/(36 + x) = 3/2`

`=>` 180 = 108 + 3x

`=>` 3x = 72

`=>` x = 24

Thus, quanitiy of water to be added is 24 kg.