• NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    Hundreds of Questions Highly Detailed Reporting Expert Explanations TAKE A FREE GMAT QUIZ
  • 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

Manhattan PS

This topic has 2 expert replies and 4 member replies

Manhattan PS

Post
Jack bought x pounds of candy at d dollars per pound. If he ate w pounds
of his candy and sold the rest to Jill for m dollars per pound, how much
money did Jack spend, in dollars, net of Jill's payment?

(A) xd- wm
(B) xm - wd
(C) xd -xm + wm
(D) xd+xm-xw
(E) 2xd-xm

Please let me know the procedure to solve this problem.

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
GmatKiss wrote:
Jack bought x pounds of candy at d dollars per pound. If he ate w pounds
of his candy and sold the rest to Jill for m dollars per pound, how much
money did Jack spend, in dollars, net of Jill's payment?

(A) xd- wm
(B) xm - wd
(C) xd -xm + wm
(D) xd+xm-xw
(E) 2xd-xm

Please let me know the procedure to solve this problem.
Let x = 5 pounds of candy.
Let d = 20 dollars per pound.
Cost = 5*20 = 100.
Let w = 2 pounds of candy eaten.
Number of pounds left = 5-2 = 3 pounds.
Let m = $10 per pound selling price.
Selling price to Jill = 3*10 = 30.
Amount spent by John = 100-30 = 70. This is our target.

Now we plug x=5, d=20, w=2 and m=10 into the answers to see which yields our target of 70.

Only answer choice C works:
xd -xm + wm = (5*20) - (5*10) + (2*10) = 70.

The correct answer is C.

_________________
Mitch Hunt
Private Tutor for the GMAT and GRE
GMATGuruNY@gmail.com

If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.

Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.
Student Review #1
Student Review #2
Student Review #3

  • +1 Upvote Post
  • Quote
  • Flag
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.
Legendary Member Default Avatar
Joined
26 Jul 2011
Posted:
2789 messages
Followed by:
43 members
Upvotes:
206
Target GMAT Score:
700+
GMAT Score:
640
Post
GMATGuruNY wrote:
GmatKiss wrote:
Jack bought x pounds of candy at d dollars per pound. If he ate w pounds
of his candy and sold the rest to Jill for m dollars per pound, how much
money did Jack spend, in dollars, net of Jill's payment?

(A) xd- wm
(B) xm - wd
(C) xd -xm + wm
(D) xd+xm-xw
(E) 2xd-xm

Please let me know the procedure to solve this problem.
Let x = 5 pounds of candy.
Let d = 20 dollars per pound.
Cost = 5*20 = 100.
Let w = 2 pounds of candy eaten.
Number of pounds left = 5-2 = 3 pounds.
Let m = $10 per pound selling price.
Selling price to Jill = 3*10 = 30.
Amount spent by John = 100-30 = 70. This is our target.

Now we plug x=5, d=20, w=2 and m=10 into the answers to see which yields our target of 70.

Only answer choice C works:
xd -xm + wm = (5*20) - (5*10) + (2*10) = 70.

The correct answer is C.
Thanks a lot GMATGuru,
Is there any particular way of choosing numbers?
I do understand that x needs to be > w, and so on for this particluar problem. But in general, do you follow any specific rule for choosing numbers, to get to the answer faster.

TIA,
GK

  • +1 Upvote Post
  • Quote
  • Flag
Master | Next Rank: 500 Posts Default Avatar
Joined
13 Jun 2010
Posted:
112 messages
Upvotes:
5
GMAT Score:
640
Facebook Logo
Post
GmatKiss wrote:
GMATGuruNY wrote:
GmatKiss wrote:
Jack bought x pounds of candy at d dollars per pound. If he ate w pounds
of his candy and sold the rest to Jill for m dollars per pound, how much
money did Jack spend, in dollars, net of Jill's payment?

(A) xd- wm
(B) xm - wd
(C) xd -xm + wm
(D) xd+xm-xw
(E) 2xd-xm

Please let me know the procedure to solve this problem.
Let x = 5 pounds of candy.
Let d = 20 dollars per pound.
Cost = 5*20 = 100.
Let w = 2 pounds of candy eaten.
Number of pounds left = 5-2 = 3 pounds.
Let m = $10 per pound selling price.
Selling price to Jill = 3*10 = 30.
Amount spent by John = 100-30 = 70. This is our target.

Now we plug x=5, d=20, w=2 and m=10 into the answers to see which yields our target of 70.

Only answer choice C works:
xd -xm + wm = (5*20) - (5*10) + (2*10) = 70.

The correct answer is C.
Thanks a lot GMATGuru,
Is there any particular way of choosing numbers?
I do understand that x needs to be > w, and so on for this particluar problem. But in general, do you follow any specific rule for choosing numbers, to get to the answer faster.

TIA,
GK
Do we have to chose numbers for this one?
Jack spent xd on the candy and sold it for (x-w)m
So in total, Jack spent xd-(x-w)m, which is option C

  • +1 Upvote Post
  • Quote
  • Flag
Legendary Member Default Avatar
Joined
26 Jul 2011
Posted:
2789 messages
Followed by:
43 members
Upvotes:
206
Target GMAT Score:
700+
GMAT Score:
640
Post
sunilrawat wrote:
GmatKiss wrote:
GMATGuruNY wrote:
GmatKiss wrote:
Jack bought x pounds of candy at d dollars per pound. If he ate w pounds
of his candy and sold the rest to Jill for m dollars per pound, how much
money did Jack spend, in dollars, net of Jill's payment?

(A) xd- wm
(B) xm - wd
(C) xd -xm + wm
(D) xd+xm-xw
(E) 2xd-xm

Please let me know the procedure to solve this problem.
Let x = 5 pounds of candy.
Let d = 20 dollars per pound.
Cost = 5*20 = 100.
Let w = 2 pounds of candy eaten.
Number of pounds left = 5-2 = 3 pounds.
Let m = $10 per pound selling price.
Selling price to Jill = 3*10 = 30.
Amount spent by John = 100-30 = 70. This is our target.

Now we plug x=5, d=20, w=2 and m=10 into the answers to see which yields our target of 70.

Only answer choice C works:
xd -xm + wm = (5*20) - (5*10) + (2*10) = 70.

The correct answer is C.
Thanks a lot GMATGuru,
Is there any particular way of choosing numbers?
I do understand that x needs to be > w, and so on for this particluar problem. But in general, do you follow any specific rule for choosing numbers, to get to the answer faster.

TIA,
GK
Do we have to chose numbers for this one?
Jack spent xd on the candy and sold it for (x-w)m
So in total, Jack spent xd-(x-w)m, which is option C
Hi,

This problem can be solved in n no.of ways, assigning no.s is one amongst them.

-GK

  • +1 Upvote Post
  • Quote
  • Flag
Newbie | Next Rank: 10 Posts Default Avatar
Joined
11 Jun 2017
Posted:
3 messages
Post
GMATGuruNY wrote:
GmatKiss wrote:
Jack bought x pounds of candy at d dollars per pound. If he ate w pounds
of his candy and sold the rest to Jill for m dollars per pound, how much
money did Jack spend, in dollars, net of Jill's payment?

(A) xd- wm
(B) xm - wd
(C) xd -xm + wm
(D) xd+xm-xw
(E) 2xd-xm

Please let me know the procedure to solve this problem.
Let x = 5 pounds of candy.
Let d = 20 dollars per pound.
Cost = 5*20 = 100.
Let w = 2 pounds of candy eaten.
Number of pounds left = 5-2 = 3 pounds.
Let m = $10 per pound selling price.
Selling price to Jill = 3*10 = 30.
Amount spent by John = 100-30 = 70. This is our target.

Now we plug x=5, d=20, w=2 and m=10 into the answers to see which yields our target of 70.

Only answer choice C works:
xd -xm + wm = (5*20) - (5*10) + (2*10) = 70.

The correct answer is C.
Hi Mitch,
I tried pluggin in numbers and it didn't work for me.
x=10
d=2
w=5
m=3
So, he purchased for 20$ (10*2), ate 5, sold 5*3=15. So he spent net 20-15=5, which is answer A. In C, I get 20$. Please explain what went wrong for me. Thanks!

  • +1 Upvote Post
  • Quote
  • Flag
Post
GmatKiss wrote:
Jack bought x pounds of candy at d dollars per pound. If he ate w pounds
of his candy and sold the rest to Jill for m dollars per pound, how much
money did Jack spend, in dollars, net of Jill's payment?

(A) xd- wm
(B) xm - wd
(C) xd -xm + wm
(D) xd+xm-xw
(E) 2xd-xm

Please let me know the procedure to solve this problem.
Jack spent dx dollars on candies before he sold some of them to Jill. Since he ate w pounds of candies, he had x - w pounds left, and since he sold them to Jill at m dollars per pound, he received m(x - w) = mx - mw dollars from Jill. Therefore, net of Jill’s payment, he spent dx - (mx - mw) = dx - mx + mw dollars on candies.

Answer: C

_________________
Scott Woodbury-Stewart Founder and CEO

  • +1 Upvote Post
  • Quote
  • Flag
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

Top First Responders*

1 GMATGuruNY 56 first replies
2 Brent@GMATPrepNow 43 first replies
3 Jay@ManhattanReview 43 first replies
4 Ian Stewart 31 first replies
5 ceilidh.erickson 15 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

217 posts
2 image description fskilnik@GMATH

GMATH Teacher

124 posts
3 image description Max@Math Revolution

Math Revolution

89 posts
4 image description GMATGuruNY

The Princeton Review Teacher

82 posts
5 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

66 posts
See More Top Beat The GMAT Experts