Multiple choice

Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 4: 7 and in the second, it is 7: 11. Now, both the mixtures are mixed in a bigger container. What is the resulting ratio of milk and water?

  1. 149: 247

  2. 247: 149

  3. 143: 241

  4. 241: 143

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

Let each container have volume V. First mixture: milk = 4V/11, water = 7V/11. Second mixture: milk = 7V/18, water = 11V/18. Combined: milk = (4/11 + 7/18)V = (72+77)/198 V = 149V/198, water = (7/11 + 11/18)V = (126+121)/198 V = 247V/198. Ratio = 149:247.