Multiple choice

A container holds 10 kilograms of a 30% sugar solution. How much pure sugar must be added to make it a 50% sugar solution?

  1. 3 kilograms

  2. 4 kilograms

  3. 5 kilograms

  4. 6 kilograms

  5. 7 kilograms
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial sugar = 0.3 * 10 = 3 kg. Let x be the sugar added. New sugar = 3 + x. New total weight = 10 + x. We want (3 + x) / (10 + x) = 0.5. 3 + x = 5 + 0.5x. 0.5x = 2, so x = 4.

AI explanation

A 10 kilogram solution at 30% sugar contains 3 kilograms of sugar. By the mixture equation, (3 + x) / (10 + x) = 0.50. Multiplying across gives 3 + x = 5 + 0.5x, so 0.5x = 2 and x = 4. The required amount of pure sugar is 4 kilograms.

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