Arithmetic

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BTGmoderatorRO: Moderator; Posts: 772; Joined: Wed Aug 30, 2017 6:29 pmFollowed by: 6 members

by BTGmoderatorRO » Fri Dec 29, 2017 8:15 am

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

OA is B

Can an Expert break this down for me? Thanks

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Source: Beat The GMAT — Problem Solving | Fri Dec 29, 2017 8:15 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8152; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Mon Sep 02, 2019 6:32 pm

BTGmoderatorRO 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

OA is B

Can an Expert break this down for me? Thanks

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, 160 guests could have consumed a maximum of 2.5 pounds of food each, and the last guest consumed 1 pound. Thus, the minimum number of guests is 161.

Answer: B

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