Multiple choice

How much water (in litres) must be added to an 80-litre mixture of milk and water, containing 10% milk, so that it becomes a 5% milk solution?

  1. 10

  2. 20

  3. 40

  4. 80

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial milk = 10% of 80 = 8L. Let x be water added. New total = 80+x. New milk % = 8 / (80+x) = 0.05. 8 = 0.05(80+x) = 4 + 0.05x. 4 = 0.05x, x = 80.

AI explanation

The 80 litre mixture contains 10 percent milk, which is 8 litres, and the rest is 72 litres of water. For the 8 litres of milk to be 5 percent of the new mixture, the total volume must be 8 divided by 0.05, equaling 160 litres. The amount of water to add to reach this total is 160 minus 80, which equals 80 litres.