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?
Practice Questions
1 question
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%
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%.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
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%.
Steps: 10
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%.
