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A solution is made by mixing 60 liters of a 20% salt solution with 40 liters of

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Question: A solution is made by mixing 60 liters of a 20% salt solution with 40 liters of a 30% salt solution. What is the percentage of salt in the resulting mixture?

Options:

  1. 24%
  2. 26%
  3. 28%
  4. 30%

Correct Answer: 26%

Solution:

Salt in 60 liters of 20% solution = 12 liters. Salt in 40 liters of 30% solution = 12 liters. Total salt = 24 liters in 100 liters of mixture. Percentage = (24/100) * 100 = 24%.

A solution is made by mixing 60 liters of a 20% salt solution with 40 liters of

Practice Questions

Q1
A solution is made by mixing 60 liters of a 20% salt solution with 40 liters of a 30% salt solution. What is the percentage of salt in the resulting mixture?
  1. 24%
  2. 26%
  3. 28%
  4. 30%

Questions & Step-by-Step Solutions

A solution is made by mixing 60 liters of a 20% salt solution with 40 liters of a 30% salt solution. What is the percentage of salt in the resulting mixture?
  • Step 1: Calculate the amount of salt in the 60 liters of 20% salt solution. To do this, multiply 60 liters by 20% (or 0.20). This gives you 60 * 0.20 = 12 liters of salt.
  • Step 2: Calculate the amount of salt in the 40 liters of 30% salt solution. Multiply 40 liters by 30% (or 0.30). This gives you 40 * 0.30 = 12 liters of salt.
  • Step 3: Add the amount of salt from both solutions together. You have 12 liters from the first solution and 12 liters from the second solution, so 12 + 12 = 24 liters of salt in total.
  • Step 4: Calculate the total volume of the mixture. You mixed 60 liters and 40 liters, so 60 + 40 = 100 liters of mixture.
  • Step 5: To find the percentage of salt in the mixture, divide the total amount of salt (24 liters) by the total volume of the mixture (100 liters) and then multiply by 100. This gives you (24 / 100) * 100 = 24%.
  • Concentration Calculation – Understanding how to calculate the amount of solute in a solution based on its concentration and volume.
  • Mixture Problems – Combining different solutions and determining the overall concentration of the resulting mixture.
  • Percentage Calculation – Calculating the percentage of a component in a mixture based on total volume and amount of the component.
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