Rafaela is a physical education teacher and has2525 girls and 3535 boys in herclass. she wants to divide the class into teams of the same size, where each team has the same numbers 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?

-- The greatest common factor of 2525 and 3535 is 5.

-- So the greatest possible number of teams is 5.

-- Each of the five teams will have 505 girls and 707 boys.

-- Rafaela is a superwoman !  She's handling more kids in that class than there were in my whole high school !

She has 6,060 students in her class, so I'm not surprised that she wants to divide the class up into smaller groups.  

But come on !  She's going to form 5 teams, and she thinks that her job will be easier that way, because each team will have 'only'  1,212 students on it !

And these are all in one class !  If Rafaela is a physical education teacher, then SURELY she's teaching more than one class !

Or maybe not.  I'll betcha whenever Rafaela is teaching her physical education class, all the other teachers are taking it easy, because Rafaela is responsible for every student in the school that hour.

And possibly several OTHER schools in town too.

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