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A burger eating contest had 25 contestants and 450 burgers
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01 Oct 2018, 16:19
01 Oct 2018, 16:19
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A burger eating contest had 25 contestants and 450 burgers were consumed. The bottom \(\frac{3}{5}\) of the contestants ate at least 15 burgers each but not more than 20. And the next 9 contestants ate at least 20 burgers each. What is the maximum number of burgers that the winner has consumed to win the contest.
Show: :: OA
45
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Joined: 10 Apr 2015
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Re: A burger eating contest had 25 contestants and 450 burgers
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04 Oct 2018, 15:09
04 Oct 2018, 15:09
3
sandy wrote:
A burger eating contest had 25 contestants and 450 burgers were consumed. The bottom \(\frac{3}{5}\) of the contestants ate at least 15 burgers each but not more than 20. And the next 9 contestants ate at least 20 burgers each. What is the maximum number of burgers that the winner has consumed to win the contest.
Show: :: OA
45
GIVEN: 450 burgers were consumed
To MAXIMIZE the number of burgers the winner ate, we must MINIMIZE the number of burgers everyone else ate.
The bottom 3/5 of the contestants ate at least 15 burgers each but not more than 20.
3/5 of 25 = 15
Since we're MINIMIZING the number of burgers everyone else ate, we'll say that all 15 people ate 15 burgers EACH
(15)(15) = 225, so these 15 people consumed a total of 225 burgers
The next 9 contestants ate at least 20 burgers each
Since we're MINIMIZING the number of burgers everyone else ate, we'll say that all 9 people ate 20 burgers EACH
(9)(20) = 180, so these 9 people consumed a total of 180 burgers
What is the maximum number of burgers that the winner has consumed to win the contest.
Number of burgers consumed by everyone other than the winner = 225 + 180 = 405 burgers
So, the winner must have each the remaining burgers.
450 - 405 = 45
Answer: 45
Cheers,
Brent
Re: A burger eating contest had 25 contestants and 450 burgers
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22 Jun 2021, 01:37
22 Jun 2021, 01:37
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
