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MathNet 2026 — Part 03 Question 93

Math Olympiad Vault · MathNet 2026 — Part 03

Question 93

A group of boys and girls have eaten at a restaurant where only pizzas cut into 12 servings are served. Each boy ate 6 or 7 servings and each girl 2 or 3 servings. It is known that 4 pizzas were not enough and that with 5 pizzas there was plenty. Calculate the number of boys and girls in the group.