Question:
A fruit basket contains 80 apples, 70 oranges, and 60 bananas. Some fruits might be rotten and discarded. What is the difference between the maximum and minimum possible number of fruits that are both apples and oranges?
A fruit basket contains 80 apples, 70 oranges, and 60 bananas. Some fruits might be rotten and discarded. What is the difference between the maximum and minimum possible number of fruits that are both apples and oranges?
Updated On: Apr 28, 2025
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The Correct Option is D
Solution and Explanation
Maximum Possible Overlap:
All 70 oranges could also be apples.
This gives us a maximum of 70 fruits that are both apples and oranges.
Minimum Possible Overlap:
There could be no fruits that are both apples and oranges.
Difference:
Maximum overlap - Minimum overlap = 70 - 0 = 70.
Therefore, the difference between the maximum and minimum possible number of fruits that are both apples and oranges is 70.
All 70 oranges could also be apples.
This gives us a maximum of 70 fruits that are both apples and oranges.
Minimum Possible Overlap:
There could be no fruits that are both apples and oranges.
Difference:
Maximum overlap - Minimum overlap = 70 - 0 = 70.
Therefore, the difference between the maximum and minimum possible number of fruits that are both apples and oranges is 70.
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