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

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

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26 Sep 2012, 11:36
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Difficulty:

45% (medium)

Question Stats:

60% (01:27) correct 40% (01:34) wrong based on 205 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
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Re: The Guests at a football banquet consumed a total of 401 pounds of foo  [#permalink]

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26 Sep 2012, 12:35
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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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Joined: 05 Sep 2017
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Re: The Guests at a football banquet consumed a total of 401 pounds of foo  [#permalink]

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07 Nov 2017, 13:44
1
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
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Re: The Guests at a football banquet consumed a total of 401 pounds of foo  [#permalink]

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05 Sep 2019, 06:14
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

We need to maximize the amount of food consumed by each guest; this will minimize the number of guests. Since 2.5 x 160 = 400, we see that 160 guests could have consumed a maximum of 2.5 pounds of food each; hence, we need one more guest to consume the remaining1 pound. Thus, the minimum number of guests is 161.

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Re: The Guests at a football banquet consumed a total of 401 pounds of foo   [#permalink] 05 Sep 2019, 06:14
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