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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A recent lunch meeting at a certain club was attended by mem ##### This topic has 1 expert reply and 0 member replies ### Top Member ## A recent lunch meeting at a certain club was attended by mem ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A recent lunch meeting at a certain club was attended by members and guests. Each member paid$4 for the lunch and each guest paid $8 for the lunch. How many of the people attending the meeting were members (1) A total of 20 people attended the meeting. (2) A total of$92 was paid for the lunch

OA C

Source: GMAT Prep

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BTGmoderatorDC wrote:
A recent lunch meeting at a certain club was attended by members and guests. Each member paid $4 for the lunch and each guest paid$8 for the lunch. How many of the people attending the meeting were members?

(1) A total of 20 people attended the meeting.

(2) A total of $92 was paid for the lunch OA C Source: GMAT Prep Say the number of members was x and the number of guests was y; thus, the total number of people = x + y. We have to get the value of x. Let's take each statement one by one. (1) A total of 20 people attended the meeting. => x + y = 20. Can't get the unique value of x. Insufficient. (2) A total of$92 was paid for the lunch.

=> 4x + 8y = 92. Can't get the unique value of x. Insufficient.

(1) and (2) together

So, we have two unique linear equations (x + y = 20 and 4x + 8y = 92), ensuring unique values of x and y. Sufficient.

There is no need to calculate the value since this is a DS question; in DS question, we just need to to be sure that we would get the unique value.

Hope this helps!

-Jay
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