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22 May, 08:18

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?

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  1. 22 May, 09:03
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    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.
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