Question

A school has 30 boys and 45 girls. The principal wants to divide them into groups so that each group has the same number of boys and the same number of girls, and no students are left out. What is the greatest number of groups the principal can make?(1 point)
Responses

A) 5 groups


B) 10 groups

C) 15 groups


D) 25 groups

Answer 1

Compute the greatest number of equal groups that divide both 30 boys and 45 girls: that's gcd(30, 45) = 15.
So 15 groups, each with 30/15 = 2 boys and 45/15 = 3 girls.

Answer: C) 15 groups.