Question

There are 90 males and 75 females that came to Jeff's house for a party. Jeff wants to split the males into equal groups and the females into equal groups to play a game. The groups of males and females must have the same amount of people. What is the greatest number of people that can be in each group?

Answer 1

15 people

Explanation:

We are told that there are 90 males and 75 females.

This question is a greatest common factor question.

We find the factors of 75 and 90

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 15.

The greatest number of people that can be in each group is 15