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MathNet 2026 — Part 02 Question 122

Math Olympiad Vault · MathNet 2026 — Part 02

Question 122

A group of boys and girls gather to eat pizzas that are cut into 12 pieces. Each boy can eat 6 or 7 pieces and each girl can eat 2 or 3 pieces. We know that four pizzas are never enough to feed the group and that with five pizzas there is always plenty. How many boys and how many girls form the group?