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A movie rental store gives free popcorn to every 40th customer and a free movie rental to every 45th customer. Which customer wa
Question
A movie rental store gives free popcorn to every 40th
customer and a free movie rental to every 45th
customer. Which customer was the first to win both prizes?
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Mathematics
3 years
2021-07-31T18:44:17+00:00
2021-07-31T18:44:17+00:00 1 Answers
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Answers ( )
Answer:
360th customer
Step-by-step explanation:
To find the customer that will receive both the free popcorn and the free movie rental, we have to list the multiples of 40 and 45 until we get a multiple that is the same for both of them.
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360
360 is the first multiple that is same for multiples of 40 and 45
So the 360th customer will receive both items.
(Sorry if my explanation is hard to understand. I haven’t done this kind of math in a while)
Hope it helps (●’◡’●)