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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Manhattan PS ##### This topic has 2 expert replies and 4 member replies 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. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15203 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 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.

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Legendary Member Joined
26 Jul 2011
Posted:
2789 messages
Followed by:
43 members
206
Target GMAT Score:
700+
GMAT Score:
640
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 Master | Next Rank: 500 Posts Joined 13 Jun 2010 Posted: 112 messages Upvotes: 5 GMAT Score: 640 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

Legendary Member Joined
26 Jul 2011
Posted:
2789 messages
Followed by:
43 members
206
Target GMAT Score:
700+
GMAT Score:
640
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 Newbie | Next Rank: 10 Posts Joined 11 Jun 2017 Posted: 3 messages 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!

### GMAT/MBA Expert

GMAT Instructor Joined
25 Apr 2015
Posted:
2244 messages
Followed by:
17 members
43
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.

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