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. If 50 additional workers are to be hired and all of the present
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Solution:VJesus12 wrote: ↑Wed May 20, 2020 6:23 amA 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
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
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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
(75 + n)/(500 + 50) = 20/100
(75 + n)/550 = 1/5
5(75 + n) = 550
375 + 5n = 550
5n = 175
n = 35
Answer: E
-
- Junior | Next Rank: 30 Posts
- Posts: 11
- Joined: Sun May 31, 2020 9:47 pm
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
(75 + n)/(500 + 50) = 20/100
(75 + n)/550 = 1/5
5(75 + n) = 550
375 + 5n = 550
5n = 175
n = 35
Answer: E
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A factory has 500 workers, 15 percent of whom are womenVJesus12 wrote: ↑Wed May 20, 2020 6:23 amA 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
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