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TAGS: Retired Moderator Joined: 07 Jun 2014
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Jacob’s weekly take-home pay is n dollars [#permalink]
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Question Stats: 82% (00:59) correct 17% (00:55) wrong based on 101 sessions
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 $$625n$$ Practice Questions Question: 16 Page: 461 Difficulty: medium [Reveal] Spoiler: OA _________________ Sandy If you found this post useful, please let me know by pressing the Kudos Button Try our free Online GRE Test Retired Moderator Joined: 07 Jun 2014 Posts: 4803 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 175 Kudos [?]: 3028  , given: 394 Re: Jacob’s weekly take-home pay is n dollars [#permalink] 1 This post received KUDOS Expert's post 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 Try our free Online GRE Test GRE Instructor Joined: 10 Apr 2015 Posts: 3903 Followers: 162 Kudos [?]: 4756  , given: 70 Re: Jacob’s weekly take-home pay is n dollars [#permalink] 1 This post received KUDOS Expert's post 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 $$625n$$

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

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Re: Jacob’s weekly take-home pay is n dollars [#permalink]
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Expert's post
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 $$625n$$ 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 _________________ # Jeffrey Miller Head of GRE Instruction Jeff@TargetTestPrep.com See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews Manager  Joined: 06 Jun 2018 Posts: 94 Followers: 2 Kudos [?]: 80  , given: 0 Re: Jacob’s weekly take-home pay is n dollars [#permalink] 2 This post received KUDOS 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 $$625n$$

Practice Questions

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. Intern Joined: 03 Oct 2018
Posts: 3
Followers: 1

Kudos [?]: 1  , given: 3

Re: Jacob’s weekly take-home pay is n dollars [#permalink]
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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)  Manager  Joined: 19 Nov 2018 Posts: 102 Followers: 0 Kudos [?]: 108  , given: 53 Re: Jacob’s weekly take-home pay is n dollars [#permalink] 1 This post received KUDOS This can be thought of as a conversion problem. We are converting$500 to weeks.

\$500 • $$\frac{1 week}{n/5 dollars}$$

$$\frac{2500}{n weeks}$$ Re: Jacob’s weekly take-home pay is n dollars   [#permalink] 22 Aug 2019, 09:45
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