Question

If 30% of a 125 / solution is milk, how many litres of water must be added to make the solution 14% milk?​

Answer 1

Answer:

30% of 125 liters is milk = 125*30/100 = 150/4 = 37.5 liters

So, the water to be added to make 14% solution of milk = 142.85 liters

Step-by-step explanation:

The amount of water present in the solution = 125 - 37.5 = 87.5 liter

Let x liters of water is needed to make the solution of 14% milk

=> (37.5 )/(125 + x) = 14/100, on cross multiplication

100(37.5 ) = 14(125 + x) => 3750 = 1750 + 14x => 14x = 3750 -1750 =2000

=> x = 2000/14 = 142.85

So, the amount of water in the solution = 87.5 + 142.85 = 230.25

Total liters including milk = 230.25 + 37.5 = 267.85

Check = 37.5/267.85 = 0.14

So, the water to be added to make 14% solution of milk = 142.85 liters