Question

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?

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.

Answer 2

Answer: The 120th customer was the first to win both​ prizes.

Explanation:

Given: A movie rental store gives a free popcorn to every 15th customer and a free movie rental to every 24th customer.

To find the number of customer was the first to win both​ prizes, we need to find the least common multiple (LCM) of 15 and 24.

`15=3*5`

`24=3*2*2*2`

Then , LCM of (15,24)=
`3*2*2*2*5=120`

Hence, the 120th customer was the first to win both​ prizes.