A container initially has 50 liters of orange juice. From this container, 5 liters of juice was taken out and replaced by water. This process was repeated two more times. If each time 5 liters of juice is replaced, how much orange juice is now contained by the container? Options 36.45 30.56 34.56 30
Question
A container initially has 50 liters of orange juice. From this container, 5 liters of juice was taken out and replaced by water. This process was repeated two more times. If each time 5 liters of juice is replaced, how much orange juice is now contained by the container?
Options 36.45
30.56
34.56
30
Solution
Let's solve this step by step:
Step 1: Initially, the container has 50 liters of orange juice.
Step 2: 5 liters of juice is taken out and replaced by water. So, the amount of orange juice left is 50 - 5 = 45 liters.
Step 3: Now, the total mixture is still 50 liters, but only 90% of it is orange juice (since 5 liters of the 50 is now water). So, after the second operation, the amount of orange juice left is 90% of 45 liters = 40.5 liters.
Step 4: The process is repeated again. Now, 90% of the 40.5 liters is orange juice. So, the amount of orange juice left is 90% of 40.5 liters = 36.45 liters.
So, the container now contains 36.45 liters of orange juice. Therefore, the correct option is 36.45.
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