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A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken

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Question: A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken out, how much sugar is left in the mixture?

Options:

  1. 1.5 liters
  2. 2 liters
  3. 2.5 liters
  4. 3 liters

Correct Answer: 2.5 liters

Solution:

In 5 liters of the mixture, sugar = 30% of 5 = 1.5 liters. If the original mixture was 5 liters, the remaining sugar = 30% of (original volume - 5) = 30% of (5 - 5) = 0 liters. Thus, 1.5 liters of sugar is removed, leaving 0 liters.

A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken

Practice Questions

Q1
A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken out, how much sugar is left in the mixture?
  1. 1.5 liters
  2. 2 liters
  3. 2.5 liters
  4. 3 liters

Questions & Step-by-Step Solutions

A mixture contains 30% sugar and 70% water. If 5 liters of the mixture is taken out, how much sugar is left in the mixture?
  • Step 1: Understand that the mixture is made up of 30% sugar and 70% water.
  • Step 2: Calculate how much sugar is in 5 liters of the mixture. Since it is 30% sugar, multiply 5 liters by 0.30.
  • Step 3: Perform the calculation: 5 liters * 0.30 = 1.5 liters of sugar in the 5 liters taken out.
  • Step 4: Determine the original amount of sugar in the entire mixture. Since the mixture is 5 liters, the total sugar is also 30% of 5 liters, which is 1.5 liters.
  • Step 5: Since we removed 1.5 liters of sugar from the original 1.5 liters, calculate the remaining sugar: 1.5 liters - 1.5 liters = 0 liters.
  • Step 6: Conclude that after removing 5 liters of the mixture, there is 0 liters of sugar left in the mixture.
  • Percentage Calculation – Understanding how to calculate percentages of a mixture and apply them to find the amount of a component.
  • Volume Subtraction – Knowing how to subtract the volume of the removed mixture from the original volume to find the remaining amount.
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