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Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Jacob’s weekly take-home pay is n dollars
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23 Jan 2016, 05:29
23 Jan 2016, 05:29
2
Expert Reply
1
Bookmarks
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Question Stats:
81% (01:06) correct
18% (01:14) wrong based on 154 sessions
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Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
_________________
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
Practice Questions
Question: 16
Page: 461
Difficulty: medium
Question: 16
Page: 461
Difficulty: medium
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Sandy
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: Jacob’s weekly take-home pay is n dollars
[#permalink]
23 Jan 2016, 06:03
23 Jan 2016, 06:03
3
Expert Reply
Solution
Jacob’s weekly expenses are \(\frac{4n}{5}\) dollars. Therefore, the amount he saves each week is equal to his weekly take-home pay minus his weekly expenses, are
\(n\) - \(\frac{4n}{5}\) = \(\frac{n}{5}\) Dollars.
So number of weeks required by Jocob to save $500 at the rate of $\(\frac{n}{5}\) per week = 500/ \(\frac{n}{5}\) = \(\frac{2500}{n}\).
Hence Option B is the correct solution.
_________________
Jacob’s weekly expenses are \(\frac{4n}{5}\) dollars. Therefore, the amount he saves each week is equal to his weekly take-home pay minus his weekly expenses, are
\(n\) - \(\frac{4n}{5}\) = \(\frac{n}{5}\) Dollars.
So number of weeks required by Jocob to save $500 at the rate of $\(\frac{n}{5}\) per week = 500/ \(\frac{n}{5}\) = \(\frac{2500}{n}\).
Hence Option B is the correct solution.
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
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Re: Jacob’s weekly take-home pay is n dollars
[#permalink]
14 Jul 2016, 14:24
14 Jul 2016, 14:24
2
Expert Reply
sandy wrote:
Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
We can also use the INPUT-OUTPUT approach.
Let's say n = 5 (Jacob takes $5 home each week)
This means Jacob SPENDS $4 each week.
So, he SAVES $1 each week
At this rate, how many weeks are needed to save $500?
It will take 500 weeks.
So, when we INPUT n = 5, the OUTPUT (the answer to the question) is 500
Now check the answer choices to see which one yields an OUTPUT of 500 when we INPUT n = 5
A) 500/5 = 100 ELIMINATE
B) 2500/5 = 500 KEEP
C) 5/625 = less than 1 ELIMINATE
D) 5/2500 = less than 1 ELIMINATE
E) 625(5) = over 3000 ELIMINATE
Answer: B
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Re: Jacob’s weekly take-home pay is n dollars
[#permalink]
19 Jul 2018, 11:40
19 Jul 2018, 11:40
3
Expert Reply
1
Bookmarks
sandy wrote:
Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
We see that 1 - (4n/5) = n/5 is saved each week. Let’s let w = the number of weeks it will take to save 500 dollars and create the equation:
n/5 x w = 500
nw = 2500
w = 2500/n weeks.
Answer: B
_________________
Re: Jacob’s weekly take-home pay is n dollars
[#permalink]
19 Jul 2018, 12:24
19 Jul 2018, 12:24
2
sandy wrote:
Jacob’s weekly take-home pay is n dollars. Each week he uses \(\frac{4n}{5}\) dollars for expenses and saves the rest. At those rates, how many weeks will it take Jacob to save $500, in terms of n ?
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
A \(\frac{500}{n}\)
B \(\frac{2,500}{n}\)
C \(\frac{n}{625}\)
D \(\frac{n}{2,500}\)
E \(625n\)
Practice Questions
Question: 16
Page: 461
Difficulty: medium
Question: 16
Page: 461
Difficulty: medium
Total = n
savings = n - 4n/5
= n/5 per week.
So, 500 / (n/5) = 500 * 5/n
= 2500 /n.
The best answer is B.
Re: Jacob’s weekly take-home pay is n dollars
[#permalink]
04 Oct 2018, 01:13
04 Oct 2018, 01:13
1
what he saves from his salary
(4n/5)-1 = (1n/5)
dvide what amount required to save(500$) with saving ratio (1n/5) in order to dertmine weeks required to save
500 /(1n/5) = 500*(1/n/5) =2500/n
Answer is (B)
(4n/5)-1 = (1n/5)
dvide what amount required to save(500$) with saving ratio (1n/5) in order to dertmine weeks required to save
500 /(1n/5) = 500*(1/n/5) =2500/n
Answer is (B)
Re: Jacob’s weekly take-home pay is n dollars
[#permalink]
22 Aug 2019, 09:45
22 Aug 2019, 09:45
1
This can be thought of as a conversion problem. We are converting $500 to weeks.
$500 • \(\frac{1 week}{n/5 dollars}\)
\(\frac{2500}{n weeks}\)
$500 • \(\frac{1 week}{n/5 dollars}\)
\(\frac{2500}{n weeks}\)
Re: Jacobs weekly take-home pay is n dollars
[#permalink]
02 Jun 2022, 06:26
02 Jun 2022, 06:26
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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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