Multiple choice

Milk and water are in the ratio of 3:2 in a mixture of 80 litres. How much water should be added so that the ratio of the milk and water becomes 2:3?

  1. 20 litres

  2. 25 litres

  3. 35 litres

  4. 40 litres
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial mixture: milk = (3/5) × 80 = 48 litres, water = (2/5) × 80 = 32 litres. After adding x litres of water, milk:water = 48:(32+x) = 2:3. Cross-multiplying: 3(48) = 2(32+x), giving 144 = 64 + 2x, so 2x = 80 and x = 40 litres. Verification: 48/(32+40) = 48/72 = 2/3 ✓

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