Question

you are making fruit baskets using 54 apples 36 oranges and 73 bananas explain why you can't make identical fruit baskets without leftover fruit

Answer 1

Their gcd is one, which means that you can only make a single fruit basket without wasting fruit.

Answer 2

It is not possible to make identical fruit baskets without leftover fruit.

Explanation:

Given : You are making fruit baskets using 54 apples 36 oranges and 73 bananas.

To find : Explain why you can't make identical fruit baskets without leftover fruit ?

Solution :

To make identical fruit basket without leftover fruit we need to distribute fruits equally.

So, We have to find the greatest common factor of the numbers

`54=2* 3* 3* 3`

`54=2* 2* 3* 3`

`73=73* 1`

GCF of 54, 36 and 73 is 1.

GCF of 54 and 36 is 18.

If we divide 54 apples into 18 baskets, we have 3 apples in each basket

If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket

If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.

Therefore, It is not possible to make identical fruit baskets without leftover fruit.