The Guests at a football banquet consumed a total of 401 : GMAT Problem Solving (PS)
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# The Guests at a football banquet consumed a total of 401

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The Guests at a football banquet consumed a total of 401 [#permalink]

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26 Sep 2012, 10:36
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Difficulty:

35% (medium)

Question Stats:

61% (02:06) correct 39% (01:05) wrong based on 148 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
[Reveal] Spoiler: OA
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Re: The Guests at a football banquet consumed a total of 401 [#permalink]

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26 Sep 2012, 11:35
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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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30 Oct 2012, 13:30
Im reading this from the Gmat Manhattan book but do not understand how this works

Question: The guest at a foot ball 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 a attended the banquet?

401/2.5 = 160.4

Since there can not be a fractional number of guests

However I dont understand why we have to round this number up instead of down, since they are asking for the minimum number of guests

Thank you!
Math Expert
Joined: 02 Sep 2009
Posts: 37144
Followers: 7263

Kudos [?]: 96750 [0], given: 10784

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30 Oct 2012, 15:26
chibimoon wrote:
Im reading this from the Gmat Manhattan book but do not understand how this works

Question: The guest at a foot ball 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 a attended the banquet?

401/2.5 = 160.4

Since there can not be a fractional number of guests

However I dont understand why we have to round this number up instead of down, since they are asking for the minimum number of guests

Thank you!

Merging similar topics. Refer to the solutions above and ask if anything remains unclear.

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Re: The Guests at a football banquet consumed a total of 401 [#permalink]

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11 Sep 2015, 11:10
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Re: The Guests at a football banquet consumed a total of 401   [#permalink] 11 Sep 2015, 11:10
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