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# Jacob’s weekly take-home pay is n dollars. Each week he uses

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Math Expert
Joined: 02 Sep 2009
Posts: 51100
Jacob’s weekly take-home pay is n dollars. Each week he uses  [#permalink]

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15 Jul 2018, 07:35
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:14) correct 21% (01:09) wrong based on 56 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 $$625n$$ _________________ SC Moderator Joined: 30 Jan 2015 Posts: 662 Location: India Concentration: Operations, Marketing GPA: 3.5 Re: Jacob’s weekly take-home pay is n dollars. Each week he uses [#permalink] ### Show Tags 15 Jul 2018, 08:35 1 1 Bunuel 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 ?

Jacob’s weekly take-home pay = n $Jacob’s weekly expenses = 4n/5$
Amount saved each week = n - (4n/5) = n/5 $Thus, Number of weeks required to save$500 @ n/5 $per week = 500 / (n/5) = 2500 / n Hence, B. _________________ The few, the fearless ! Thanks Director Joined: 31 Oct 2013 Posts: 855 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) Jacob’s weekly take-home pay is n dollars. Each week he uses [#permalink] ### Show Tags 15 Jul 2018, 10:34 Bunuel 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 $$625n$$

Savings in each week = n - 4n/5

= n/5

Week needed to save $500 =$500/ (n/5)

= 2500 / n

Thus the best answer is B.
Math Expert
Joined: 02 Aug 2009
Posts: 7099
Re: Jacob’s weekly take-home pay is n dollars. Each week he uses  [#permalink]

### Show Tags

15 Jul 2018, 17:26
Bunuel 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 $$625n$$ So two ways.. 1) algebraic as shown above too.. Savings in a week -> 1-4n/5=n/5 So savings n/5 in 1 week Savings 1 in 5/n weeks Savings 500 in 500*5/n=2500/n weeks 2) substitution Take a smart number, say n = 100.. Savings =100/5=20, thus number of weeks =500/20=25 Check the choices.. B. 2500/n =2500/100=25.....yes B _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4273 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: Jacob’s weekly take-home pay is n dollars. Each week he uses [#permalink] ### Show Tags 16 Jul 2018, 07:51 Bunuel 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 $$625n$$

Jacob's weekly savings = $$n - \frac{4n}{5}$$

Or, Jacob's weekly savings = $$\frac{n}{5}$$

Time required to save $500 is $$\frac{500*5}{n}$$ = $$\frac{2,500}{n}$$, Answer must be (B) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4278 Location: United States (CA) Re: Jacob’s weekly take-home pay is n dollars. Each week he uses [#permalink] ### Show Tags 19 Jul 2018, 11:40 Bunuel 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.

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Re: Jacob’s weekly take-home pay is n dollars. Each week he uses &nbs [#permalink] 19 Jul 2018, 11:40
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