Question:

A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% sugar?

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Use the formula for mixture percentage problems: \[ \frac{(\text{Quantity}_1 \times \text{Concentration}_1) + (\text{Quantity}_2 \times \text{Concentration}_2)}{\text{Total Quantity}} \]
Updated On: Mar 7, 2025
  • 10 litres
  • 5 litres
  • 15 litres
  • 20 litres
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The Correct Option is D

Solution and Explanation

Let \( x \) litres of the second solution be added.
Using the mixture equation: \[ \frac{(20 \times 15) + (x \times 5)}{20 + x} = 10 \] \[ \frac{300 + 5x}{20 + x} = 10 \] \[ 300 + 5x = 200 + 10x \] \[ 300 - 200 = 10x - 5x \] \[ 100 = 5x \] \[ x = 20 \text{ litres} \] Thus, the required quantity is 20 litres.
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