Answer:
It is not possible to make identical fruit baskets without leftover fruit.
Step-by-step 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
[tex]54=2\times 3\times 3\times 3[/tex]
[tex]54=2\times 2\times 3\times 3[/tex]
[tex]73=73\times 1[/tex]
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.
