A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is tak

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Question: A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is taken out and replaced with water, what is the new percentage of alcohol in the mixture?

Options:

Correct Answer: 28%

Solution:

Initial alcohol = 30% of 20L = 6L. Remaining alcohol = 30L - 6L = 24L. New mixture = 24L + 20L = 44L. New percentage of alcohol = (24/44) * 100 = 54.55%.

A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is tak

Practice Questions

A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is taken out and replaced with water, what is the new percentage of alcohol in the mixture?

Questions & Step-by-Step Solutions

A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is taken out and replaced with water, what is the new percentage of alcohol in the mixture?

Step 1: Start with a mixture that has 30% alcohol and 70% water.
Step 2: Calculate the total amount of the mixture. We have 20 liters.
Step 3: Find out how much alcohol is in the 20 liters. This is 30% of 20 liters.
Step 4: Calculate 30% of 20 liters: 0.30 * 20 = 6 liters of alcohol.
Step 5: Determine how much alcohol is left after removing 20 liters. The original mixture had 30 liters, so we subtract the 6 liters we took out: 30L - 6L = 24L of alcohol remaining.
Step 6: Now, we add back 20 liters of water to the remaining mixture. So, we have 24 liters of alcohol and 20 liters of water.
Step 7: Calculate the new total volume of the mixture: 24L (alcohol) + 20L (water) = 44 liters.
Step 8: Find the new percentage of alcohol in the mixture. This is calculated by dividing the amount of alcohol by the total volume and then multiplying by 100: (24L / 44L) * 100.
Step 9: Calculate the new percentage: (24 / 44) * 100 = 54.55%.

Mixture and Concentration – Understanding how to calculate the concentration of a solution after removing and replacing a portion of it.
Percentage Calculation – Calculating the new percentage of a component in a mixture after a change in volume.

A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is tak

What’s inside this PDF?

A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is tak

Practice Questions

Questions & Step-by-Step Solutions

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