A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed

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Question: A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed and replaced with water, what is the new percentage of salt?

Options:

Correct Answer: 8%

Solution:

Initial salt = 10% of 40L = 4L. After removing 5L, salt left = 4L - (10% of 5L) = 4L - 0.5L = 3.5L. New volume = 40L. New percentage = (3.5/40) * 100 = 8%.

A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed

Practice Questions

A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed and replaced with water, what is the new percentage of salt?

Questions & Step-by-Step Solutions

A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed and replaced with water, what is the new percentage of salt?

Step 1: Calculate the initial amount of salt in the mixture. Since the mixture is 40 liters and contains 10% salt, the amount of salt is 10% of 40 liters.
Step 2: Calculate 10% of 40 liters. This is done by multiplying 40 by 0.10, which equals 4 liters of salt.
Step 3: Determine how much of the mixture is removed. We are removing 5 liters of the mixture.
Step 4: Calculate the amount of salt in the 5 liters that is removed. Since the mixture is 10% salt, the amount of salt in 5 liters is 10% of 5 liters, which is 0.5 liters.
Step 5: Subtract the amount of salt removed from the initial amount of salt. Start with 4 liters of salt and subtract 0.5 liters, which gives us 3.5 liters of salt remaining.
Step 6: The total volume of the mixture remains 40 liters after replacing the 5 liters with water.
Step 7: Calculate the new percentage of salt in the mixture. This is done by dividing the remaining amount of salt (3.5 liters) by the total volume (40 liters) and then multiplying by 100 to get a percentage.
Step 8: Perform the calculation: (3.5 / 40) * 100, which equals 8%.

Percentage Calculation – Understanding how to calculate percentages and apply them to mixtures.
Mixture and Replacement – Analyzing the effect of removing a portion of a mixture and replacing it with another substance.
Concentration Change – Determining how the concentration of a solution changes after a portion is removed and replaced.

A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed

What’s inside this PDF?

A mixture of 40 liters contains 10% salt. If 5 liters of the mixture is removed

Practice Questions

Questions & Step-by-Step Solutions

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