Author 
Message 
Intern
Joined: 10 Dec 2007
Posts: 47

To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
Updated on: 20 Oct 2014, 06:30
Question Stats:
74% (00:59) correct 26% (01:01) wrong based on 214 sessions
HideShow timer Statistics
To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved? (A) Combined, with a savings of x  y cents (B) Combined, with a savings of y  x cents (C) Combined, with a savings of x cents (D) Separately, with a savings of x  y cents (E) Separately, with a savings of y cents OPEN DISCUSSION OF THIS QUESTION IS HERE: tomailapackagetherateisxcentsforthefirstpound144264.html
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by vermatanya on 20 Jan 2008, 10:31.
Last edited by Bunuel on 20 Oct 2014, 06:30, edited 1 time in total.
Renamed the topic, edited the question and added the OA.



Director
Joined: 01 Jan 2008
Posts: 597

Re: To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
20 Jan 2008, 11:54
obviously A. the only difference is paying for the first pound of the second package. if it's included with the first one, its price is Y, if mailed separately X. Then the difference is XY.



VP
Joined: 28 Dec 2005
Posts: 1462

Re: To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
20 Jan 2008, 19:35
agree with A. I just did the math on paper.
separately, you have one pkg costing X+2Y, and the other costs X+4Y. Together, thats 2X+6Y.
Together, the cost is X+7Y. The difference btwn the two options ix XY.



Manager
Joined: 05 Oct 2011
Posts: 162

Re: To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
21 Nov 2011, 13:19
Another way of solving this problem is using numbers in place of x and y choose \(x = 3\) and \(y = 2\) as \(x>y\)
Shipping separately : 3 lb Package: \(3 + 2 *2 = 7\) 5 lb package: \(3 + 4*2 = 11\) Total cost: 18 lbs
Shipping combined: Cost = 3 + 7 * 2 = 17 lbs
So shipping combined is cheaper it is cheaper by 1cent(i.e 32 or xy)
Looking at the answer choices  A



Intern
Joined: 08 Nov 2011
Posts: 1

Re: To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
21 Nov 2011, 14:05
@icaniwill  thanks for alternate solution



Manager
Status: DDay is on February 10th. and I am not stressed
Affiliations: American Management association, American Association of financial accountants
Joined: 12 Apr 2011
Posts: 180
Location: Kuwait
Schools: Columbia university

Re: To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
21 Nov 2011, 14:35
A, try pluging in strategy and you will see that A is our man
_________________
Sky is the limit



Math Expert
Joined: 02 Sep 2009
Posts: 50009

Re: To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
20 Oct 2014, 06:31
vermatanya wrote: To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?
(A) Combined, with a savings of x  y cents (B) Combined, with a savings of y  x cents (C) Combined, with a savings of x cents (D) Separately, with a savings of x  y cents (E) Separately, with a savings of y cents
Shipping separately costs \(1x+2y\) for the 3 pounds package (x cents for the first pound and y cents for the additional 2 pounds) plus \(1x+4y\) for the 5 pounds package (x cents for the first pound and y cents for the additional 4 pounds), so total cost of shipping separately is \((x+2y)+(x+4y)=2x+6y\); Shipping together in one 8pound package costs \(1x+7y\) (x cents for the first pound and y cents for the additional 7 pounds); Difference: \(SeparatelyTogether=(2x+6y)(x+7y)=xy\) > as given that \(x>y\) then this difference is positive, which makes shipping together cheaper by \(xy\) cents. Answer: A. OPEN DISCUSSION OF THIS QUESTION IS HERE: tomailapackagetherateisxcentsforthefirstpound144264.html
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



NonHuman User
Joined: 09 Sep 2013
Posts: 8506

Re: To mail a package, the rate is x cents for the first pound and y cents
[#permalink]
Show Tags
29 Sep 2018, 12:38
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: To mail a package, the rate is x cents for the first pound and y cents &nbs
[#permalink]
29 Sep 2018, 12:38






