Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket tocontain the same amount of each fruit. Maylin believes the greatest number of baskets they can make is 6, and Ninabelieves the greatest number of baskets they can make is 9.

Question

Joel Buchanan

Mathematics

15 September, 01:25

Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket tocontain the same amount of each fruit. Maylin believes the greatest number of baskets they can make is 6, and Ninabelieves the greatest number of baskets they can make is 9.

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Answers (1)

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Shane · Answer 1

The greatest number of baskets can be 81 and the least number of baskets can be 9.

Step-by-step explanation:

We have a constraint on our actions, that every basket should have the same number of fruits in each basket.

To find the highest number of fruits in each basket we have to find the Highest Common Factor (HCF) of the number of apples, bananas and oranges.

HCF of 36, 27 and 18 is 9.

Therefore the number of fruits in each basket is 9.

Apples will require 4 baskets, bananas will require 3 baskets and oranges will require 2 baskets. Thus Nina is right and total 9 baskets will be required.

9 is the least of number of baskets required

If we have to maximize the number of baskets, then we have to place the least number of same fruits in a basket ie. 1.

Therefore, he maximum number of baskets required is 36+27+18=81 baskets.