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A mixture contains 30% alcohol and 70% water. If 10 liters of the mixture is tak

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Question: A mixture contains 30% alcohol and 70% water. If 10 liters of the mixture is taken out, how much alcohol is left in the mixture?

Options:

  1. 3 liters
  2. 4 liters
  3. 5 liters
  4. 6 liters

Correct Answer: 5 liters

Solution:

In 10 liters of the mixture, alcohol = 30% of 10 = 3 liters. If the original mixture was 10 liters, the remaining alcohol = 30% of (original volume - 10) = 30% of (10 - 10) = 0 liters. Thus, 3 liters of alcohol is removed, leaving 0 liters.

A mixture contains 30% alcohol and 70% water. If 10 liters of the mixture is tak

Practice Questions

Q1
A mixture contains 30% alcohol and 70% water. If 10 liters of the mixture is taken out, how much alcohol is left in the mixture?
  1. 3 liters
  2. 4 liters
  3. 5 liters
  4. 6 liters

Questions & Step-by-Step Solutions

A mixture contains 30% alcohol and 70% water. If 10 liters of the mixture is taken out, how much alcohol is left in the mixture?
  • Step 1: Understand that the mixture is made up of 30% alcohol and 70% water.
  • Step 2: Know that you are taking out 10 liters of this mixture.
  • Step 3: Calculate how much alcohol is in the 10 liters taken out. Since the mixture is 30% alcohol, you find 30% of 10 liters.
  • Step 4: Calculate 30% of 10 liters: 30% of 10 = 0.30 * 10 = 3 liters of alcohol.
  • Step 5: Now, determine how much alcohol was originally in the mixture. Since the original mixture was 10 liters, it also contained 3 liters of alcohol.
  • Step 6: After removing 3 liters of alcohol, calculate how much alcohol is left in the mixture. The original amount of alcohol was 3 liters, and you removed 3 liters.
  • Step 7: Subtract the removed alcohol from the original amount: 3 liters - 3 liters = 0 liters of alcohol left.
  • Percentage Calculation – Understanding how to calculate percentages of a mixture and apply them to find the amount of a component.
  • Volume Reduction – Recognizing how the removal of a portion of a mixture affects the total volume and the remaining quantities of its components.
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