There are 27 girls and 36 boys who want to participate in a math competition. If each team must have the same ratio of girls and boys what’s the greatest number of teams that can enter?

\(27=3^3 = 3 \cdot 9\\ 36=2^2 3^2 = 4 \cdot 9\\ \text{So if teams have 3 girls and 4 boys you can have 9 teams}\)