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.

Step-by-step 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.

$15=3\times5$

$24=3\times2\times2\times2$

Then , LCM of (15,24)=$3\times2\times2\times2\times5=120$

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