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# A burger eating contest had 25 contestants and 450 burgers were consum

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
A burger eating contest had 25 contestants and 450 burgers were consum  [#permalink]

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19 Dec 2018, 01:14
00:00

Difficulty:

15% (low)

Question Stats:

91% (02:36) correct 9% (02:23) wrong based on 37 sessions

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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.

A. 44
B. 45
C. 46
D. 47
E. 48

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Re: A burger eating contest had 25 contestants and 450 burgers were consum  [#permalink]

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19 Dec 2018, 01:33
Bunuel 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.

A. 44
B. 45
C. 46
D. 47
E. 48

lets take min values for each contestant details given;
so 15 contestants i.e 3/5 ate 15*15=225 burgers
9 ate 9*20 = 180 burgers
so out of 450- (180+225)= 45 is the max burger winner has consumed IMO B
Re: A burger eating contest had 25 contestants and 450 burgers were consum   [#permalink] 19 Dec 2018, 01:33
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