Multiple choice

Shilpa has a solution which contains 90% water and the rest is milk. Alka has 9 litres of solution which has 60% milk. They both mix their solutions. If the resultant solution has 40% milk, then how much litres of solution does Shilpa have?

  1. 4 litres

  2. 5 litres

  3. 6 litres

  4. 7 litres

  5. 8 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Shilpa have x litres of solution (10% milk). Alka has 9 litres (60% milk, so 5.4 litres milk). Total volume x+9, total milk 0.1x + 5.4. (0.1x + 5.4) / (x+9) = 0.4. 0.1x + 5.4 = 0.4x + 3.6. 1.8 = 0.3x, so x = 6.

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