A movie rental store gives a free popcorn to every 15th customer and a free movie rental to every 24th customer. Which customer was the first to win both prizes?

Question

Frank Sexton

Mathematics

20 January, 09:34

A movie rental store gives a free popcorn to every 15th customer and a free movie rental to every 24th customer. Which customer was the first to win both prizes?

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Answers (1)

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Corey Roberts · Answer 1

In order to solve this question, you need to look at the common multiples of both 15 and 24.

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135

Multiples of 24: 24, 48, 72, 96, 120, 144

If you observe, both 15 and 24 are multiples of 120. Therefore the 120th customer will be the first customer to win both prizes.