Multiple choice

Two drinks P and Q are made of lime and water both. The ratio by volume of lime to water in drink P is 8 : 1 and in drink Q is 2 : 7. It is found that, if drinks P and Q are mixed in a certain ratio, the volumes of lime and water in the resultant drink are also in the same ratio. Calculate the required ratio.

  1. 1 : 2

  2. 2 : 1

  3. 2 : 3

  4. 3 : 4

  5. 5 : 4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let P be mixed with Q in ratio x:y. Lime in P = 8/9, Water = 1/9. Lime in Q = 2/9, Water = 7/9. Resultant ratio = (8x + 2y) / (x + 7y). We want (8x + 2y) / (x + 7y) = 8/1 (or similar). Solving for x/y gives 2:1.

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