VJesus12 wrote: ↑

Wed May 20, 2020 6:23 am

A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percentage of women employees to 20 percent?

(A) 3
(B) 10
(C) 25
(D) 30
(E) 35

[spoiler]OA=E[/spoiler]

Source: Official Guide

Solution:

Currently, we have 0.15 x 500 = 75 female employees. If we let n = the number of additional female employees hired, we can create the equation:

(75 + n)/(500 + 50) = 20/100

(75 + n)/550 = 1/5

5(75 + n) = 550

375 + 5n = 550

5n = 175

n = 35

Answer: E

VJesus12 wrote: ↑

Wed May 20, 2020 6:23 am

A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percentage of women employees to 20 percent?

(A) 3
(B) 10
(C) 25
(D) 30
(E) 35

[spoiler]OA=E[/spoiler]

Source: Official Guide

A factory has 500 workers, 15 percent of whom are women
15% of 500 = 75
So, there are presently 75 women at the factory


Once the additional 50 workers are hired, there will be 550 workers.
We want 20% of those 550 workers to be women.
20% of 550 = 110, so we need there to be 110 women altogether.

So, we need to increase the number of female workers from 75 to 110.
110 - 75 = 35

So, 35 of the additional workers must be women.

Answer: E

Cheers,
Brent