Solutions
Get detailed explanations to advanced GMAT questions.
Question
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to the meeting, how many people are present?
Option A:
6
Option B:
7
Option C:
8
Option D:
9
Option E:
10
Difficulty Level
MediumSolution
Option B is the correct answer.
Option Analysis
Say there are ‘A’ associate professors.
So we have 2 A pencils and A charts.
Say there are ‘B’ assistant professors.
So we have B pencils and 2 B charts.
Total pencils are 10
so 2A + B = 10
Total charts are 11
so A + 2B = 11
Add both: 3A + 3B = 21
so A + B = 7
Total number of people = 7
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