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Jacob’s weekly take-home pay is n dollars [#permalink]
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Question Stats: 64% (00:46) correct 36% (00:26) wrong based on 25 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 GRE Prep Club Legend  Joined: 07 Jun 2014 Posts: 4857 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 105 Kudos [?]: 1783 , given: 397 Re: Jacob’s weekly take-home pay is n dollars [#permalink] 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: 1552 Followers: 56 Kudos [?]: 1481  , given: 8 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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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 _________________ GRE Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Manager  Joined: 06 Jun 2018 Posts: 94 Followers: 0 Kudos [?]: 58  , given: 0 Re: Jacob’s weekly take-home pay is n dollars [#permalink] 1 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.

The best answer is B. Intern Joined: 03 Oct 2018
Posts: 3
Followers: 0

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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  Re: Jacob’s weekly take-home pay is n dollars   [#permalink] 04 Oct 2018, 01:13
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