GMAT Changed on April 16th - Read about the latest changes here

It is currently 27 May 2018, 16:43

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

John and Mary were each paid x dollars in advance to do a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2638
Location: United States (CA)
Re: John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post 04 May 2016, 09:33
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


We are first given that John worked for 10 hours and that Mary worked for 2 hours less than John. So we can say:

John’s hours = 10

Mary’s hours = 8

We are also given that John and Mary were each given x dollars in advance. We can use this to determine the hourly wage for both Mary and John.

Since (hourly wage)(# of hours) = total paid, we can say that:

hourly wage = (total paid)/(# of hours)

John’s hourly wage = x/10

Mary’s hourly wage = x/8

We are also told that Mary gave John y dollars of her payment so that they would have an equal hourly wage. This means that Mary actually made x – y dollars. Since John received y dollars he now makes x + y dollars. Using this information, the hourly wages of John and Mary are:

Mary’s wage = (x – y)/8

John’s wage = (x + y)/10

Since we are told that the two hourly wages are the same, we can set the hourly wages of John and Mary equal to each other.

(x + y)/10 = (x – y)/8

We can cross multiply and we get:

8x + 8y = 10x – 10y

-2x = -18y

x = 9y

Answer is E.
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5784
Re: John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post 04 May 2016, 09:42
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


Hi,
A simple way to look at the problem is ..
they were paid x for equal hours..
so the time was supposed to be\(\frac{10+8}{2} = 9\) hr..
M gives y dollar to J since she worked one hour less and J worked 1 hr more than 9.. so hourly wage is y..
for 9 hours wage = 9y = x

E
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


GMAT online Tutor

Expert Post
Top Contributor
1 KUDOS received
SVP
SVP
User avatar
P
Joined: 12 Sep 2015
Posts: 2478
Location: Canada
Re: John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post 01 May 2017, 05:56
1
This post received
KUDOS
Expert's post
Top Contributor
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


Salary
Mary's NET salary was x - y dollars (because Mary gave John y dollars)
John's NET salary was x + y dollars

Hours worked
Mary worked 8 hours
John worked 10 hours


In the end, John and Mary received the SAME hourly wage.
So, John's hourly wage = Mary's hourly wage
Hourly wage = (total salary)/(hours worked)
So, (x + y)/10 = (x - y)/8

In terms of y, that John was paid in advance?
In other words, what is the value of x (in terms of y)
So, we'll solve our equation for x.

Take (x + y)/10 = (x - y)/8 and cross multiply to get:
10(x - y) = 8(x + y)
Expand: 10x - 10y = 8x + 8y
Rearrange: 2x = 18y
Divide by 2: x = 9y
So, John's advance payment = x = 9y = E

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Manager
Manager
avatar
B
Joined: 14 May 2015
Posts: 52
Re: John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post 03 May 2017, 14:47
average hourly wage= total wage/hour worked
(advance+y)/10 = (advance-y)/8
advance=9y
answer:E
Manager
Manager
avatar
B
Joined: 29 Sep 2017
Posts: 60
Location: United States
Concentration: Strategy, Leadership
GPA: 3.3
WE: Consulting (Consulting)
CAT Tests
John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post Updated on: 15 May 2018, 14:18
They each received the same payment in advance. Pick a random #: say $20.

John worked 10 hours and Mary worked 10 - 2 = 8 hours. Since Mary gave John $y, we can write the equation as:

\(\frac{20+y}{10} = \frac{20-y}{8}\)

Solving this yields 18y = 40 or y = 40/18

Since the original amount we picked was 20, we need 20/(40/18) = (20/40)*18 = 18/2 = 9. Hence E.
_________________

If this helped, please give kudos!


Originally posted by strivingFor800 on 15 May 2018, 12:33.
Last edited by strivingFor800 on 15 May 2018, 14:18, edited 2 times in total.
Director
Director
User avatar
G
Joined: 09 Mar 2016
Posts: 544
Re: John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post 15 May 2018, 13:35
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


pushpitkc

i was wondering why my equation doesnt work if we talk about hourly wage and we know how many hours john and mary worked

\(\frac{10x+y}{10} = \frac{8x-y}{8}\)

any idea? :?
Manager
Manager
avatar
B
Joined: 29 Sep 2017
Posts: 60
Location: United States
Concentration: Strategy, Leadership
GPA: 3.3
WE: Consulting (Consulting)
CAT Tests
Re: John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post 15 May 2018, 14:19
1
dave13 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


pushpitkc

i was wondering why my equation doesnt work if we talk about hourly wage and we know how many hours john and mary worked

\(\frac{10x+y}{10} = \frac{8x-y}{8}\)

any idea? :?

Look at my answer above yours. They were both paid $x. Your equation is saying that $x is the hourly rate and that John made 10*$x and Mary made 8*$x which means they made a different total amount, which is not what the problem says.
_________________

If this helped, please give kudos!

VP
VP
avatar
G
Joined: 07 Dec 2014
Posts: 1000
Re: John and Mary were each paid x dollars in advance to do a [#permalink]

Show Tags

New post 15 May 2018, 19:09
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


(x+y)/(x-y)=10/8
x=9y
E
Re: John and Mary were each paid x dollars in advance to do a   [#permalink] 15 May 2018, 19:09

Go to page   Previous    1   2   [ 28 posts ] 

Display posts from previous: Sort by

John and Mary were each paid x dollars in advance to do a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.