Question

Farmer Hanson is putting together fruit baskets. He has 240 apples and 150 pears. What is the largest number of baskets he can put together so that he can have the same number of apples and same number of pears in each basket considering no fruit is left out?HELP NOWWWWW

Answer 1

Answer: The largest number of baskets he can put together so that he can have the same number of apples and the same number of pears in each basket considering no fruit is left out is 30.

Explanation:

Given, Farmer has 240 apples and 150 pears.

The largest number of baskets he can put together so that he can have the same number of apples and the same number of pears in each basket considering no fruit is left out = GCF(240,150)

Prime factorization of 240 and 150 :

`240=2*2*2*2*3*5\\150=2*3*5*5`

Greatest common factor of 240 and 150 =
`2*3*5=30`

Hence, the largest number of baskets he can put together so that he can have the same number of apples and the same number of pears in each basket considering no fruit is left out is 30.