Question

Rafaela is a physical education teacher and has 252525 girls and 353535 boys in her class.

She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys.
If Rafaela creates the greatest number of teams possible, how many boys will be on each team?

Answer 1

7 boys

Explanation:

252525=3*5²*7*13*37

353535=3*5*7²*13*37

(252525; 353535)= 3 * 5 * 7 * 13 * 37 = 50505

The greatest number of teams possible=50505

252525=5*50505

353535=7*50505

So, are 50505 teams, each containing 5 girls and 7 boys.

7 boys