Question

There are 15 boys and 10 girls in Miss Li's class. She wants to group all the students so that each group has the same number of boys and the same number of girls. What is the greatest number of groups she can have?

Answer 1

the most groups she can have is 10

Answer 2

The greatest number that she can have is 5 groups

Explanation:

This question plays on words, but refers to a concept that is quite familiar, and that is the Highest Common Factor of the two groups. The answer to this question is the highest number that can divide both group numbers without remainder.

15 boys: 3 × 5

10 girls: 2 × 5

So, she would have 5 groups, each having 3 boys and 2 girls