Multiple choice

A mixture of 70 litres of wine and water contains 10 per cent of water. How much water in litres, must be added to make water 37 per cent of the resulting mixture?

  1. 30

  2. 37

  3. 63

  4. 67
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial mixture: 70 L total, 10% water = 7 L water, 63 L wine. Add x L water. New mixture: (7+x) L water, 63 L wine, total (70+x) L. We want water to be 37%: (7+x)/(70+x) = 0.37. Cross-multiplying: 7+x = 0.37(70+x) = 25.9 + 0.37x. So 7+x = 25.9 + 0.37x, giving 0.63x = 18.9, so x = 30. Verification: 37 L water / 100 L total = 37%.

Keep practicing — related questions