Multiple choice

Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee with sugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio 2 : 3 to make a new mixture C. If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be

  1. 21

  2. 24

  3. 16

  4. 17
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Mixture A: 3/5 cocoa, 2/5 sugar. Mixture B: 7/10 coffee, 3/10 sugar. Combined in 2:3 ratio: Sugar = (2/5 * 2/5) + (3/5 * 3/10) = 4/25 + 9/50 = 8/50 + 9/50 = 17/50 (34%). Mixing with equal milk halves the concentration: 34% / 2 = 17%.

AI explanation

Assume 100 units of mixture C, which contains 40 units of mixture A (ratio 3:2) and 60 units of mixture B (ratio 7:3). This gives 24 units of sugar from mixture A and 18 units of sugar from mixture B, totaling 42 units of sugar in the 100 units of mixture C. Mixing C with an equal amount of 100 units of milk brings the total drink volume to 200 units, so the percentage of sugar is 42 / 200, or 17 percent.

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