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 new mixture?
24%
26%
28%
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 new mixture?
Step 1: Calculate the amount of salt in the 60 liters of 20% salt solution. This is done by multiplying 20% (or 0.2) by 60 liters. So, 0.2 * 60 = 12 liters of salt.
Step 2: Calculate the amount of salt in the 40 liters of 30% salt solution. This is done by multiplying 30% (or 0.3) by 40 liters. So, 0.3 * 40 = 12 liters of salt.
Step 3: Add the amount of salt from both solutions together. So, 12 liters (from the first solution) + 12 liters (from the second solution) = 24 liters of salt in total.
Step 4: Calculate the total volume of the new mixture. This is done by adding the volumes of both solutions together. So, 60 liters + 40 liters = 100 liters of mixture.
Step 5: Calculate the percentage of salt in the new mixture. This is done by dividing the total amount of salt (24 liters) by the total volume of the mixture (100 liters) and then multiplying by 100 to get a percentage. So, (24/100) * 100 = 24%.
Concentration Calculation – Understanding how to calculate the concentration of a solution by determining the amount of solute in relation to the total volume of the solution.
Mixture of Solutions – Combining different concentrations of solutions and calculating the resulting concentration in the new mixture.
