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# The Guests at a football banquet consumed a total of 401

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Director
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 928
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)
The Guests at a football banquet consumed a total of 401  [#permalink]

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26 Sep 2012, 10:36
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:27) correct 40% (01:31) wrong based on 240 sessions

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The Guests at a football banquet consumed a total of 401 pounds of food. if no individual guest consumed more than 2.5 pounds of food, What is the minimum number of guests that could have attended the banquet?

A. 160
B. 161
C. 162
D. 163
E. 164
Math Expert
Joined: 02 Sep 2009
Posts: 53063
Re: The Guests at a football banquet consumed a total of 401  [#permalink]

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26 Sep 2012, 11:35
1
2
Archit143 wrote:
The Guests at a football banquet consumed a total of 401 pounds of food. if no individual guest consumed more than 2.5 pounds of food, What is the minimum number of guests that could have attended the banquet?

A. 160
B. 161
C. 162
D. 163
E. 164

To minimize one quantity maximize other.

160*2.5 (max possible amount of food a guest could consume) = 400 pounds, so there must be more than 160 guests, next integer is 161.

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Joined: 05 Sep 2017
Posts: 3
Re: The Guests at a football banquet consumed a total of 401  [#permalink]

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07 Nov 2017, 12:44
Actually, the answer is 161 guests.

161*2.5 =402.5 pounds total, hence we can still get to 401 pounds if the last guest ate 2.5-1.5=1 pound.

So solution is 160*2.5 + 1*1 ---------> 161 guests
Re: The Guests at a football banquet consumed a total of 401   [#permalink] 07 Nov 2017, 12:44
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