Solutions

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?

 

Difficulty Level

Medium

Solution

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