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In a certain store, the ratio of part-time workers to full-time worker
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05 Apr 2021, 07:32
05 Apr 2021, 07:32
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In a certain store, the ratio of part-time workers to full-time workers is 2 to 5. If 4 part-time workers were hired, then the ratio would be 3 to 5. How many workers does the store have?
(A) 11
(B) 12
(C) 21
(D) 28
(E) 35
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 11
(B) 12
(C) 21
(D) 28
(E) 35
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
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Re: In a certain store, the ratio of part-time workers to full-time worker
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05 Apr 2021, 07:44
05 Apr 2021, 07:44
Carcass wrote:
In a certain store, the ratio of part-time workers to full-time workers is 2 to 5. If 4 part-time workers were hired, then the ratio would be 3 to 5. How many workers does the store have?
(A) 11
(B) 12
(C) 21
(D) 28
(E) 35
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 11
(B) 12
(C) 21
(D) 28
(E) 35
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Here's a solution with two variables....
The ratio of part-time workers to full-time workers is 2 to 5
Let P = number of Part-time workers
Let F = number of Full-time workers
We can write: P/F = 2/5
Cross multiply to get: 5P = 2F
If 4 part-time workers were hired, then the ratio would be 3 to 5.
This would mean there are no P+4 part-time workers
Also, there are still F full-time workers
We can write: (P+4)/F = 3/5
Cross multiply to get: 5(P + 4) = 3F
Expand to get: 5P + 20 = 3F
Replace 5P with 2F to get: 2F + 20 = 3F
Solve to get F = 20
So, there are presently 20 full-time employees
How many workers does the store have?
Since F = 20, we can use the equation 5P = 2F to help find the value of P
Replace F with 20 to get: 5P = 2(20)
Simplify: 5P = 40
Solve to get: P = 8
TOTAL number of workers = F + P = 20 + 8 = 28
Answer: D
Cheers,
Brent
Re: In a certain store, the ratio of part-time workers to full-time worker
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10 Jan 2023, 14:44
10 Jan 2023, 14:44
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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