Jun 19 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. Jun 22 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jun 23 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 174

John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
27 Dec 2012, 06:05
Question Stats:
63% (02:22) correct 37% (02:46) wrong based on 939 sessions
HideShow timer Statistics
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance? (A) 4y (B) 5y (C) 6y (D) 8y (E) 9y
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 55681

John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
27 Dec 2012, 06:07
Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y The amount Mary has in the end is xy dollars and she worked for 8 hours; The amount John has in the end is x+y dollars and he worked for 10 hours;; We are told that in this case their hourly wage was the same: \(hourly \ wage=\frac{wage}{number \ of \ hours \ worked}=\frac{xy}{8}=\frac{x+y}{10}\), from \(\frac{xy}{8}=\frac{x+y}{10}\) we get that \(x=9y\). Answer: E.
_________________




Intern
Joined: 04 Aug 2013
Posts: 28
Concentration: Finance, Real Estate
GPA: 3.23
WE: Consulting (Real Estate)

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
18 Nov 2013, 19:45
runningguy wrote: Could someone also do this problem plugging numbers. I tried but it is not working. I had trouble coming up with the above approach so i tried plugging numbers. You are told John worked 10 hrs and Mary worked 8, and they are EACH paid x dollars for their work. I chose 80 for x since it's a multiple of 8 and 10. In this case, John is paid 8/hr and Mary is paid 10/hr. Since they have to be paid the same amount, Mary gives $1 to John (remember, y represents the amount of money she gives to John, so here y = 1). John now earns $9/hr or 9y.




Intern
Joined: 09 Sep 2013
Posts: 16

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
18 Oct 2013, 16:30
Could someone also do this problem plugging numbers. I tried but it is not working.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9331
Location: Pune, India

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
18 Nov 2013, 21:32
runningguy wrote: Could someone also do this problem plugging numbers. I tried but it is not working. Number plugging could work like this: John worked on the job for 10 hours and Mary worked for 8 hours. They were both paid an equal amount but Mary gave John some of her amount so that they both get the same hourly wage. We can easily imagine this by assuming that they both got $9 each initially and Mary gave $1 to John so that Mary got $8 (@$1 per hr) and John got $10 (@ $1 per hr). So x could be $9 and y could be $1. We need x in terms of y which is x = 9y
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Current Student
Joined: 10 Nov 2013
Posts: 19
Location: United States
Concentration: Healthcare, Strategy
WE: Information Technology (Health Care)

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
01 Dec 2013, 11:19
HCalum11 wrote: runningguy wrote: Could someone also do this problem plugging numbers. I tried but it is not working. I had trouble coming up with the above approach so i tried plugging numbers. You are told John worked 10 hrs and Mary worked 8, and they are EACH paid x dollars for their work. I chose 80 for x since it's a multiple of 8 and 10. In this case, John is paid 8/hr and Mary is paid 10/hr. Since they have to be paid the same amount, Mary gives $1 to John (remember, y represents the amount of money she gives to John, so here y = 1). John now earns $9/hr or 9y. Exactly!.. I picked up the same approach with 800$ provided to Mary and John.. It is easier to choose the multiple of rates when picking up a number instead of a just using a 100$ approach..



Manager
Joined: 13 Jul 2013
Posts: 64

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
29 Dec 2013, 19:44
I tried this but I am not getting the answer.
Lets assume Both John and Mary got 8 and 8 advance. Mary gave john $2 as she worked 2 hour less. So y=2. Answer: a.
Where am I going wrong?



Math Expert
Joined: 02 Sep 2009
Posts: 55681

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
30 Dec 2013, 01:15
theGame001 wrote: I tried this but I am not getting the answer.
Lets assume Both John and Mary got 8 and 8 advance. Mary gave john $2 as she worked 2 hour less. So y=2. Answer: a.
Where am I going wrong? We are told that after Mary gave John y dollars they received the same hourly wage. Your example does not provide that. Try using $9 advance pay instead or check Karishma's post for number plugging here: johnandmarywereeachpaidxdollarsinadvancetodoa144782.html#p1294268 or algebraic approach here: johnandmarywereeachpaidxdollarsinadvancetodoa144782.html#p1161559Hope this helps.
_________________



Manager
Joined: 04 Oct 2013
Posts: 151
Location: India
GMAT Date: 05232015
GPA: 3.45

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
31 Dec 2013, 08:58
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y
John worked 10 hours and paid x dollars Mary worked 8 hours and paid x dollars
John and Mary together worked: \(10 + 8 = 18 hours\) John and Mary together paid :\(x + x = 2x\)
Hence, hourly wage or wage/hour \(= 2x/18\) or \(x/9\)
As per hourly wage, john is paid less by an amount \((x/9)*10  x\) Or, \(x/9\) Or, Mary is paid more by an amount \(x  (x/9)*10\) or \(x/9\)
Or, \(x/9\) is the amount Mary gave John so that they would have received the same hourly wage. Or, \(x/9 = y\) Or, \(x = 9y\)
Hence, answer (E)



Manager
Joined: 12 Jan 2013
Posts: 145

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
Updated on: 10 Jan 2014, 04:47
Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y I did NOT solve this question correctly but I still got to the correct answer because I knew that 9 needed to be included in the correct answer because of this: Initially we are given x + x = Total Advance. Then, given that Mary gives John y USD of her payment, we have: 10(x + y) + 8(x  y) = Total Advance > 10x + 10y + 8x  8y = TA > 18x + 2y = TA > 9x + y = TA.. There is no multiple of 9 in the answer other than E, thus I came to the correct answer even though I knew I hadn't done sufficient calculations to solve for the exact value of 9y. Of course, this approach is very flawed because nothing out of 9x + y tells us that the answer should be 9y.. But given that more than 40% of everyone who did this question failed it, I find it quite obvious that the "correct" approach is not intuitive to a lot of us. IMO, the GMAT is not a test where you're successful only if you know 100% of everything; a big portion of the test consists of making qualified guesses, otherwise many of us spend too much time trying to solve problems that obviously are over our heads (like this one, for me). With that in mind, I think this approach  seeing a possible pattern  is a weak but viable approach.
Originally posted by aeglorre on 10 Jan 2014, 04:35.
Last edited by aeglorre on 10 Jan 2014, 04:47, edited 2 times in total.



Manager
Joined: 20 Dec 2013
Posts: 119

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
10 Jan 2014, 04:45
Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y Let us say that both got $ 40 for the job, x = 40 John  10 hours  $ 40  After paying  40 + y Mary  8 hours  $ 40  After paying  40  y Now the rate is same: (40 + y)/10 = (40  y)/8 160 + 4y = 200  5y 9y = 40 y = 40/9 By putting y = 40/9 we should get x = 40 which is answer option E.
_________________
76000 Subscribers, 7 million minutes of learning delivered and 5.6 million video views
Perfect Scores http://perfectscores.org http://www.youtube.com/perfectscores



Manager
Joined: 15 Aug 2013
Posts: 241

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
28 Oct 2014, 18:46
VeritasPrepKarishma wrote: runningguy wrote: Could someone also do this problem plugging numbers. I tried but it is not working. Number plugging could work like this: John worked on the job for 10 hours and Mary worked for 8 hours. They were both paid an equal amount but Mary gave John some of her amount so that they both get the same hourly wage. We can easily imagine this by assuming that they both got $9 each initially and Mary gave $1 to John so that Mary got $8 (@$1 per hr) and John got $10 (@ $1 per hr). So x could be $9 and y could be $1. We need x in terms of y which is x = 9y Hi Karishma, I actually tried the number approach as well and did EXACTLY that, with those same exact numbers, but for some reason, didn't think that the answer was the right answer. Mary worked 8 hours. John worked 10 hours. Let's say they both earned 80 dollars, which would make: Mary's hourly wage: $10/hr John's hourly wage: $8/hr To get the same wage, lets say 9, mary would earn $9/hr and John would earn $11/hr. But doing so, the total gets misaligned. Now, Mary's total wage will be (9$/hr)(8hr) = $72 and John's will be (11$/hr)(10hr) = $110. Don't they need to earn the same TOTAL money? How can this work if they need to earn the same total? Thanks! Bunuel wrote: Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y The amount Mary has in the end is xy dollars and she worked for 8 hours; The amount John has in the end is x+y dollars and he worked for 10 hours;; We are told that in this case their hourly wage was the same: \(hourly \ wage=\frac{wage}{# \ of \ hours \ worked}=\frac{xy}{8}=\frac{x+y}{10}\), from \(\frac{xy}{8}=\frac{x+y}{10}\) we get that \(x=9y\). Answer: E. Bunuel, I can completely follow the logic below but I had no idea that we were solving for x. How did you come up with the concept, albeit correct, that we were solving for x? Thanks!



Intern
Joined: 01 Sep 2014
Posts: 2

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
24 Dec 2014, 08:58
Bunuel wrote: Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y The amount Mary has in the end is xy dollars and she worked for 8 hours; The amount John has in the end is x+y dollars and he worked for 10 hours;; We are told that in this case their hourly wage was the same: \(hourly \ wage=\frac{wage}{# \ of \ hours \ worked}=\frac{xy}{8}=\frac{x+y}{10}\), from \(\frac{xy}{8}=\frac{x+y}{10}\) we get that \(x=9y\). Answer: E. Hi Bunuel My doubt is that shouldn't the amount Mary and John have in the end also contains (Hourly wage * No. of hours)? I solved it like this : Total revenue of John= x +10(hourly wage)+y Similarly for Mary, it will be = x+8(hourly wage)y Since, Mary gives y amount to John which corresponds to extra 2 hours worked by John and 2 less hours by Mary 2 * hourly wage = y or hourly wage = y/2 final equation to equate hourly wages (x+(10y/2)+ y)/10 = (x+(8y/2)y)/8 (x+6y)/10 = (x+3y)/8 hence, x=9y Isn't this the right approach? Thanks



Math Expert
Joined: 02 Sep 2009
Posts: 55681

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
24 Dec 2014, 09:00
russ9 wrote: VeritasPrepKarishma wrote: runningguy wrote: Could someone also do this problem plugging numbers. I tried but it is not working. Number plugging could work like this: John worked on the job for 10 hours and Mary worked for 8 hours. They were both paid an equal amount but Mary gave John some of her amount so that they both get the same hourly wage. We can easily imagine this by assuming that they both got $9 each initially and Mary gave $1 to John so that Mary got $8 (@$1 per hr) and John got $10 (@ $1 per hr). So x could be $9 and y could be $1. We need x in terms of y which is x = 9y Hi Karishma, I actually tried the number approach as well and did EXACTLY that, with those same exact numbers, but for some reason, didn't think that the answer was the right answer. Mary worked 8 hours. John worked 10 hours. Let's say they both earned 80 dollars, which would make: Mary's hourly wage: $10/hr John's hourly wage: $8/hr To get the same wage, lets say 9, mary would earn $9/hr and John would earn $11/hr. But doing so, the total gets misaligned. Now, Mary's total wage will be (9$/hr)(8hr) = $72 and John's will be (11$/hr)(10hr) = $110. Don't they need to earn the same TOTAL money? How can this work if they need to earn the same total? Thanks! Bunuel wrote: Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y The amount Mary has in the end is xy dollars and she worked for 8 hours; The amount John has in the end is x+y dollars and he worked for 10 hours;; We are told that in this case their hourly wage was the same: \(hourly \ wage=\frac{wage}{# \ of \ hours \ worked}=\frac{xy}{8}=\frac{x+y}{10}\), from \(\frac{xy}{8}=\frac{x+y}{10}\) we get that \(x=9y\). Answer: E. Bunuel, I can completely follow the logic below but I had no idea that we were solving for x. How did you come up with the concept, albeit correct, that we were solving for x? Thanks! We are told that John was paid x dollars in advance. The question asks: what was the dollar amount, in terms of y, that John was paid in advance? So, it asks to find x (the dollar amount that John was paid in advance) in terms of y. Hope it's clear.
_________________



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9331
Location: Pune, India

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
25 Dec 2014, 20:19
russ9 wrote: VeritasPrepKarishma wrote: runningguy wrote: Could someone also do this problem plugging numbers. I tried but it is not working. Number plugging could work like this: John worked on the job for 10 hours and Mary worked for 8 hours. They were both paid an equal amount but Mary gave John some of her amount so that they both get the same hourly wage. We can easily imagine this by assuming that they both got $9 each initially and Mary gave $1 to John so that Mary got $8 (@$1 per hr) and John got $10 (@ $1 per hr). So x could be $9 and y could be $1. We need x in terms of y which is x = 9y Hi Karishma, I actually tried the number approach as well and did EXACTLY that, with those same exact numbers, but for some reason, didn't think that the answer was the right answer. Mary worked 8 hours. John worked 10 hours. Let's say they both earned 80 dollars, which would make: Mary's hourly wage: $10/hr John's hourly wage: $8/hr To get the same wage, lets say 9, mary would earn $9/hr and John would earn $11/hr. But doing so, the total gets misaligned. Now, Mary's total wage will be (9$/hr)(8hr) = $72 and John's will be (11$/hr)(10hr) = $110. Don't they need to earn the same TOTAL money? How can this work if they need to earn the same total? Thanks! The numbers I have assumed are that Mary and John got a TOTAL of $9 each initially (same total wage received). Then Mary gave John $1 so that Mary got a total of $8 and John got a total of $10. They hourly wages are $1/hour (same for both). This gives x = $9 and y = $1.
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Senior Manager
Joined: 10 Mar 2013
Posts: 488
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
30 May 2015, 08:00
John and Mary worked together 18 Hours and received (let's say) 36 $ > Wage 2$/hour John received: 18$ and worked 10 hours Mary received: 18$ and worked 8 hours > Mary should have received 8hours*2$ =16$, so Mary must give John 2$ (our Y) We know that John received 18$ in advance which is equal to 9y (9*2$)
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660



Current Student
Joined: 18 Jul 2015
Posts: 39
Location: Brazil
Concentration: General Management, Strategy
GMAT 1: 640 Q39 V38 GMAT 2: 700 Q47 V38

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
16 Feb 2016, 14:38
Hourly wage = x/total time worked
John works for 10 hours Mary works of 8 hours
Hourly wage of John = (x+y)/10 Hourly wage for Mary= (xy)/8
Since both hourly wage must be the same, (x+y)/10=(xy)/8 18y=2x 9y=x



Board of Directors
Joined: 17 Jul 2014
Posts: 2544
Location: United States (IL)
Concentration: Finance, Economics
GPA: 3.92
WE: General Management (Transportation)

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
25 Mar 2016, 18:47
Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y looks more like a 600 lvl question... each prepaid X $ we know that (xy)/8  hourly rate for marry is equal to (x+y)/10  hourly rate for john. and these two are equal cross multiply and get: 10x10y=8x+8y 2x=18y x=9y we are asked how much john was prepaid. he received x $. but x=9y E



Intern
Joined: 07 Feb 2012
Posts: 15
Concentration: Strategy

John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
27 Mar 2016, 23:03
Bunuel wrote: Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y The amount Mary has in the end is xy dollars and she worked for 8 hours; The amount John has in the end is x+y dollars and he worked for 10 hours;; We are told that in this case their hourly wage was the same: \(hourly \ wage=\frac{wage}{# \ of \ hours \ worked}=\frac{xy}{8}=\frac{x+y}{10}\), from \(\frac{xy}{8}=\frac{x+y}{10}\) we get that \(x=9y\). Answer: E. Hi Bunuel, Could you please let me know where I went wrong in my approach? I assumed that that the advance amount given to each person was 40 $. (X=40). As John worked 10 hours and Mary worked 8 hours, John's hourly rate = 40/10=4$/hr Mary's houry rate = 40/8=5/hr For Mary to receive the same hourly rate as John (4$/hr), she would have had to earn only 4*8 = 32$ Hence the amount to be given to John = 4032=8 (i.e y = 8 in this case) In this case 40=5(8) i.e. x=5y (option B)



Math Expert
Joined: 02 Sep 2009
Posts: 55681

Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
Show Tags
28 Mar 2016, 02:14
deliverance wrote: Bunuel wrote: Walkabout wrote: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
(A) 4y (B) 5y (C) 6y (D) 8y (E) 9y The amount Mary has in the end is xy dollars and she worked for 8 hours; The amount John has in the end is x+y dollars and he worked for 10 hours;; We are told that in this case their hourly wage was the same: \(hourly \ wage=\frac{wage}{# \ of \ hours \ worked}=\frac{xy}{8}=\frac{x+y}{10}\), from \(\frac{xy}{8}=\frac{x+y}{10}\) we get that \(x=9y\). Answer: E. Hi Bunuel, Could you please let me know where I went wrong in my approach? I assumed that that the advance amount given to each person was 40 $. (X=40). As John worked 10 hours and Mary worked 8 hours, John's hourly rate = 40/10=4$/hr Mary's houry rate = 40/8=5/hr For Mary to receive the same hourly rate as John (4$/hr), she would have had to earn only 4*8 = 32$ Hence the amount to be given to John = 4032=8 (i.e y = 8 in this case) In this case 40=5(8) i.e. x=5y (option B) The point is that when Mary gives John y dollars of her payment, Mary's hourly wage will decrease and John's hourly wage will increase. In your case Mary's hourly wage is $4 while John's hourly wage becomes 48/10=$4.8. As you can see the hourly wages are not equal.
_________________




Re: John and Mary were each paid x dollars in advance to do a
[#permalink]
28 Mar 2016, 02:14



Go to page
1 2
Next
[ 32 posts ]



