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A mixture contains 60% fruit juice and 40% water. If 5 liters of water is added,

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Question: A mixture contains 60% fruit juice and 40% water. If 5 liters of water is added, what will be the new percentage of fruit juice in the mixture if the total volume becomes 25 liters?

Options:

  1. 50%
  2. 60%
  3. 40%
  4. 70%

Correct Answer: 50%

Solution:

Initial fruit juice = 0.6 * 20 = 12 liters. New total = 25 liters. New percentage = (12/25) * 100 = 48%.

A mixture contains 60% fruit juice and 40% water. If 5 liters of water is added,

Practice Questions

Q1
A mixture contains 60% fruit juice and 40% water. If 5 liters of water is added, what will be the new percentage of fruit juice in the mixture if the total volume becomes 25 liters?
  1. 50%
  2. 60%
  3. 40%
  4. 70%

Questions & Step-by-Step Solutions

A mixture contains 60% fruit juice and 40% water. If 5 liters of water is added, what will be the new percentage of fruit juice in the mixture if the total volume becomes 25 liters?
  • Step 1: Understand that the mixture has 60% fruit juice and 40% water.
  • Step 2: Calculate the initial total volume of the mixture before adding water. Since we know the new total volume is 25 liters and we added 5 liters of water, the initial volume was 25 liters - 5 liters = 20 liters.
  • Step 3: Calculate the amount of fruit juice in the initial mixture. Since it is 60% fruit juice, we find 60% of 20 liters: 0.6 * 20 = 12 liters of fruit juice.
  • Step 4: After adding 5 liters of water, the total volume of the mixture is now 25 liters (20 liters initial + 5 liters added).
  • Step 5: Calculate the new percentage of fruit juice in the mixture. The formula is (amount of fruit juice / total volume) * 100. So, (12 liters / 25 liters) * 100 = 48%.
  • Step 6: Conclude that the new percentage of fruit juice in the mixture is 48%.
  • Percentage Calculation – Understanding how to calculate the percentage of a component in a mixture based on its volume.
  • Mixture Composition – Analyzing how the addition of a component (water) affects the overall composition of a mixture.
  • Volume Change Impact – Recognizing how changes in total volume influence the concentration of components in a mixture.
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