Question

there are 28 boys and 40 girls in PE class coaches putting them into groups that will have the same number of boys in each group and the same number of girls in each group with no one left over and with the greatest number of students in each group how many boys will be in each group.

Answer 1

Ok

Data

Number of boys = 28

Number of girls = 40

Process

-Calculate the greatest common factor

B G

28 40 2

14 20 2

7 10 2

7 5 5

7 1 7

1

The greatest common factor is 2 x 2 = 4

Then, there must be 4 teams

Number of boys in each team = 28/4 = 7

Number of girls in each team = 40/4 = 10

Each group will have 17 students