Multiple choice

The ratio of milk to water in three containers of equal capacity is 3 : 2, 7 : 3 and 11 : 4 respectively. The three containers are mixed together. What is the ratio of milk to water after mixing?

  1. $41 : 29$
  2. $61 : 39$
  3. $61: 29$
  4. $51 : 29$
  5. None of these

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

To find the final ratio, calculate the total milk and total water from all three containers. Container 1 has milk:water = 3:2, so milk fraction = 3/5. Container 2 has milk:water = 7:3, so milk fraction = 7/10. Container 3 has milk:water = 11:4, so milk fraction = 11/15. Total milk = 3/5 + 7/10 + 11/15 = 18/30 + 21/30 + 22/30 = 61/30. Total water = 2/5 + 3/10 + 4/15 = 12/30 + 9/30 + 8/30 = 29/30. The ratio of milk to water is 61:29.