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A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If

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Question: A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If solution A contains 20% salt and solution B contains 10% salt, what is the percentage of salt in the final mixture?

Options:

  1. 15%
  2. 16%
  3. 17%
  4. 18%

Correct Answer: 15%

Solution: 

Total salt = (3 * 0.2) + (5 * 0.1) = 0.6 + 0.5 = 1.1. Total mixture = 3 + 5 = 8. Percentage = (1.1/8) * 100 = 13.75%.

A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If

Practice Questions

Q1
A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If solution A contains 20% salt and solution B contains 10% salt, what is the percentage of salt in the final mixture?
  1. 15%
  2. 16%
  3. 17%
  4. 18%

Questions & Step-by-Step Solutions

A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If solution A contains 20% salt and solution B contains 10% salt, what is the percentage of salt in the final mixture?
  • Step 1: Identify the parts of each solution. We have 3 parts of solution A and 5 parts of solution B.
  • Step 2: Determine the salt concentration in each solution. Solution A has 20% salt, and solution B has 10% salt.
  • Step 3: Calculate the total amount of salt from solution A. Since solution A has 20% salt, the amount of salt from 3 parts is 3 * 0.2 = 0.6.
  • Step 4: Calculate the total amount of salt from solution B. Since solution B has 10% salt, the amount of salt from 5 parts is 5 * 0.1 = 0.5.
  • Step 5: Add the total salt from both solutions. Total salt = 0.6 (from A) + 0.5 (from B) = 1.1.
  • Step 6: Calculate the total volume of the mixture. Total mixture = 3 (from A) + 5 (from B) = 8.
  • Step 7: Calculate the percentage of salt in the final mixture. Percentage = (Total salt / Total mixture) * 100 = (1.1 / 8) * 100 = 13.75.
  • Concentration Calculation – Understanding how to calculate the concentration of a mixture based on the concentrations of its components.
  • Weighted Average – Applying the concept of weighted averages to find the overall percentage of a solution.
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