Refreshing Orange Juice and Water Mixture

What’s inside this PDF?

Question: A mixture contains 30% orange juice and 70% water. If 5 liters of the mixture is taken out and replaced with 5 liters of pure orange juice, what will be the new percentage of orange juice in the mixture?

Options:

40%
50%
30%
60%

Correct Answer: 50%

Solution:

Removing 5 liters removes 1.5 liters of orange juice. New orange juice = 5 + (30% of 5) = 5 + 1.5 = 6.5 liters in 10 liters = 65%.

Practice Questions

Q1

A mixture contains 30% orange juice and 70% water. If 5 liters of the mixture is taken out and replaced with 5 liters of pure orange juice, what will be the new percentage of orange juice in the mixture?

40%
50%
30%
60%

Questions & Step-by-Step Solutions

A mixture contains 30% orange juice and 70% water. If 5 liters of the mixture is taken out and replaced with 5 liters of pure orange juice, what will be the new percentage of orange juice in the mixture?

Step 1: Understand the original mixture. It has 30% orange juice and 70% water.
Step 2: Calculate the total volume of the mixture. We have 5 liters of the mixture.
Step 3: Find out how much orange juice is in the 5 liters. Since it's 30%, we calculate 30% of 5 liters: 0.30 * 5 = 1.5 liters of orange juice.
Step 4: When we remove 5 liters of the mixture, we also remove 1.5 liters of orange juice.
Step 5: After removing the 5 liters, we have 0 liters of the original mixture left.
Step 6: Now, we add back 5 liters of pure orange juice to the mixture.
Step 7: Calculate the new total amount of orange juice. We had 0 liters left and added 5 liters, so now we have 5 liters of orange juice.
Step 8: The total volume of the mixture is still 5 liters (the original 5 liters minus what was removed plus what was added).
Step 9: Calculate the new percentage of orange juice in the mixture. We have 5 liters of orange juice in a total of 5 liters: (5 liters / 5 liters) * 100 = 100%.
Step 10: Therefore, the new percentage of orange juice in the mixture is 100%.

Percentage Calculation – Understanding how to calculate the percentage of a component in a mixture after a change in volume.
Mixture and Replacement – Analyzing the effects of removing a portion of a mixture and replacing it with another substance.

A mixture contains 30% orange juice and 70% water. If 5 liters of the mixture is

What’s inside this PDF?

A mixture contains 30% orange juice and 70% water. If 5 liters of the mixture is

Practice Questions

Questions & Step-by-Step Solutions

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