Combinatorics › Pigeonhole and extremal problems › Coloured beads and balloons

Blue rectangles on a blackboard

High school · ●●●○○ 50 pts

Blue and red rectangles are drawn on a blackboard. Exactly 7 of the rectangles are squares. There are 3 more red rectangles than blue squares. There are 2 more red squares than blue rectangles. How many blue rectangles are there?

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