Combinatorics › Pigeonhole and extremal problems › Coloured beads and balloons
Balloon bouquets with equal colors
Elementary school · ●○○○○ 10 pts
Elizabeth has 84 blue balloons and 96 white balloons. She wants to make identical bouquets: every bouquet must have the same number of blue balloons and the same number of white balloons as every other bouquet. She wants to use all of her balloons. Find the greatest number of bouquets she can make.