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IMAS 2023–2024 — Upper Primary — Round 2 Question 1

IMAS · IMAS 2023–2024 — Upper Primary — Round 2

Question 1

There are $x$ pizzas with same size in a party. If 6 children share these pizzas, then each child can eat $\frac{5}{y}$ pizzas. If 3 children share these pizzas, then each child can eat $\frac{8}{z}$ pizzas. Note that $x$, $y$ and $z$ are positive integers. How many possible values of $x$ are there?
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