If 65 percent of a certain firm’s employees are full-time and if there are

BTGModeratorVI wrote: ↑

Sat Jun 13, 2020 5:39 am

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

Answer: E
Source: Official guide

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

BTGModeratorVI wrote: ↑

Sat Jun 13, 2020 5:39 am

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

Answer: E
Source: Official guide

Solution:

If 65 percent of the firm’s employees are full-time, then 35 percent of the firm’s employees are part-time. We see that full-time employees exceed part-time employees by 30 percent. Since we know that is 5,100, we can create the equation:

5,100 / x = 30 / 100

30x = 510,000

x = 17,000

Answer: E