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A solution contains 25% sugar. If 10 liters of water is added to 30 liters of th

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Question: A solution contains 25% sugar. If 10 liters of water is added to 30 liters of this solution, what is the new concentration of sugar in the solution?

Options:

  1. 15%
  2. 20%
  3. 25%
  4. 30%

Correct Answer: 20%

Solution: 

Initial sugar = 0.25 * 30 = 7.5 liters. New total volume = 30 + 10 = 40 liters. New concentration = (7.5/40) * 100 = 18.75%.

A solution contains 25% sugar. If 10 liters of water is added to 30 liters of th

Practice Questions

Q1
A solution contains 25% sugar. If 10 liters of water is added to 30 liters of this solution, what is the new concentration of sugar in the solution?
  1. 15%
  2. 20%
  3. 25%
  4. 30%

Questions & Step-by-Step Solutions

A solution contains 25% sugar. If 10 liters of water is added to 30 liters of this solution, what is the new concentration of sugar in the solution?
  • Step 1: Calculate the amount of sugar in the original solution. Since the solution is 25% sugar and there are 30 liters of it, multiply 0.25 by 30 to find the sugar content.
  • Step 2: Calculate the amount of sugar. 0.25 * 30 = 7.5 liters of sugar.
  • Step 3: Calculate the new total volume of the solution after adding water. Add 10 liters of water to the original 30 liters of solution.
  • Step 4: New total volume = 30 + 10 = 40 liters.
  • Step 5: Calculate the new concentration of sugar in the solution. Divide the amount of sugar (7.5 liters) by the new total volume (40 liters) and then multiply by 100 to get the percentage.
  • Step 6: New concentration = (7.5 / 40) * 100 = 18.75%.
  • Concentration Calculation – Understanding how to calculate the concentration of a solution after dilution.
  • Volume Addition – Recognizing how adding a solvent affects the total volume and concentration of a solution.
  • Percentage Conversion – Converting the ratio of solute to solution volume into a percentage.
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