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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] New post 26 Sep 2012, 10:36
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B
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Difficulty:

  35% (medium)

Question Stats:

66% (02:01) correct 34% (01:15) wrong based on 62 sessions
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] New post 26 Sep 2012, 11:35
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Expert's post
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.

Answer: B.
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Optimization [#permalink] New post 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
the right answer is 161

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!
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Re: Optimization [#permalink] New post 30 Oct 2012, 15:26
Expert's post
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
the right answer is 161

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.

Also, please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Please pay attention to the rules #3 and 8. Thank you.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Optimization   [#permalink] 30 Oct 2012, 15:26
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