Question

Rafaela is a physical education teacher and has 25 girls and

35 children in their group.
She wants to divide the group into teams of equal size, with each team having the same number of girls and the same number of boys.
If Rafaela creates the greatest number of teams possible, how many children will there be on each team?

Answer 1

To divide the group into teams of equal size, with the same number of girls and boys on each team, you need to find the greatest common factor (GCF) of the number of girls and boys in the group.

Rafaela has 25 girls and 35 children (which includes the boys). To find the GCF of 25 and 35, you can use prime factorization.

Prime factorization of 25:

25 = 5 × 5

Prime factorization of 35:

35 = 5 × 7

Now, let's find the common prime factors between 25 and 35:

Common prime factors: 5

So, the greatest common factor (GCF) is 5. This means that Rafaela can create teams with 5 children on each team, and each team will have the same number of girls (5 girls) and boys (5 - 5 = 0 boys).