OG: If 65 percent of a certain firm’s employees are full-time and if there are 5,100

[AbeNeedsAnswers]

If 65 percent of a certain firm’s employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?

A. 8,250
B. 10,200
C. 11,050
D. 16,500
E. 17,000

E

[Brent@GMATPrepNow]

If 65 percent of a certain firm’s employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?

A. 8,250
B. 10,200
C. 11,050
D. 16,500
E. 17,000

E

Let x = the TOTAL number of employees

65 percent of a certain firm’s employees are full-time
This also means that 35 percent of the employees are part-time

So, 0.65x = the number of full-time employees
And 0.35x = the number of part-time employees

There are 5,100 more full-time employees than part-time employees
In other words: (the number of full-time employees) = (the number of part-time employees) + 5100
Substitute to get: 0.65x = (0.35x) + 5100
Subtract 0.35x from both sides of the equation to get: 0.3x = 5100
Divide both sides by 0.3 to get: x = 17,000

Answer: E

Cheers,
Brent