Michelle had 12 Girls and 36 boys show up for field day.She divide them into groups so that each group had the same number of girls and boys.What is the greatest number of groups that Michelle can make if all of the children are in a group?

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12-03-2017
Mathematics

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Michelle had 12 Girls and 36 boys show up for field day.She divide them into groups so that each group had the same number of girls and boys.What is the greatest number of groups that Michelle can make if all of the children are in a group?

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crackedmoonlight crackedmoonlight · Answer 1 · 2017-03-12T04:08:03+01:00

The question is a little confusing, so bare with me.
The part that throws me off is the "same number of girls and boys". Does each individual group need the same amount of girls to boys, or does each group need the same amount of girls and boys as the other groups? I'm assuming it's the latter, as "all of the children are in a group, but I'll solve it both ways.
The first way, there can only be twelve groups. A boy and a girl in each group so it's equal, and 24 boys sit out.
The second way, the answer is 16. Each group will have two boys and one girl. So each group will have three kids. 12 plus 36 is 48, and 48 divided by 3 is 16.
Hope this helped, and feel free to ask more questions.