Finch divides 12 peaches and 18 nectarines into the same number of equal groups. how many possible groups of each fruit can he make? how many are in each group?

This question is based on prime factorization method.

As given there are 12 peaches and 18 nectarines

Factors of 12 are : 2,3,4,6 and 12

Factors of 18 are : 2,3,6,9 and 18

As mentioned, fruits are divided into the same number of equal groups, so the groups can be formed as-

1. 6 groups of peaches with 2 in each and 6 groups of nectarines with 3 in each,

2. 3 groups of peaches with 4 in each and 3 groups of nectarines with 6 in each.

3. 2 groups of peaches with 6 in each and 2 groups of nectarines with 9 in each.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.