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UKMT Junior Mathematical Olympiad, 2023

Algebra Difficulty 3.0 AMC 10/12 Prove it United Kingdom

As Rachel travelled to school, she noticed that, at each bus stop, one passenger got off and $x$ passengers got on, where $x \geq 2$ . After five stops, the number of passengers on the bus was $x$ times the number of passengers before the first stop. How many passengers were on the bus before the first stop?

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