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?
15%
16%
17%
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.
