Multiple choice

The ratio of milk and water is 4 : 3. If we add 2 litres of water, The ratio of milk and water becomes 8 : 7. What is the quantity of the final mixture ?

  1. 18 litres

  2. 30 litres

  3. 24 litres

  4. 28 litres

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

Initial ratio 4:3 means 4x milk and 3x water. After adding 2 liters water, ratio becomes 8:7. Cross-multiplying: 28x = 24x + 8, giving 4x = 8, so x = 2. Initial mixture is 7x = 14 liters. Final mixture after adding 2 liters is 16 liters. Wait - let me recalculate: 28x = 24x + 8 gives x = 2, initial = 14, final = 16. But option B says 30. Let me verify: 4x/(3x+2) = 8/7 gives 28x = 24x + 16, so 4x = 16, x = 4. Initial = 28 liters, final = 30 liters.