A mixture of two sugar solutions contains 26% sugar in the first solution and 60% sugar in the second solution. The overall sugar concentration in the mixture is 43%. If 150 liters of the mixture is prepared, what is the quantity (in liters) of the second solution used? If the sugar concentration of the mixture was 55%, what would have been the quantity (in liters) of the second sugar solution in the mixture? (Round off your answer to the nearest integer.)

  1. A. 75, 128 ✓
  2. B. 72, 118
  3. C. 72, 128
  4. D. 75, 118

Correct Answer: A. 75, 128

Explanation

Case 1: Alligation ratio = (60-43) : (43-26) = 17 : 17 = 1 : 1. Second solution qty = \frac{1}{2} \times 150 = 75 L. Case 2: Alligation ratio = (60-55) : (55-26) = 5 : 29. Second solution qty = \frac{29}{34} \times 150 \approx 127.94 \approx 128 L.

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