# 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

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

### Related Questions

- 3 teaspoons = 1 tablespoon, 4 tablespoons = 1/4 cup. According to the information above, how many teaspoons are equal to 3/8 cup?

- The figure above represents a rectangular garden bordered by a walk away that has a uniform width…

- The integers q,r,s,t and u are positive. If t >q , u > r, s >t, and r > s, what is the median of the five integers?

- A farmer who grows strawberries defines a “workday yield” as the number of litres of strawberries that…

- In a particular machine, there are 2 gears that interlock; one gear is larger in circumference than the…