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.
The correct answer:
C
Hope this helps!
-Jay
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