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# To mail a package , the rate is X cents for the first pound

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Manager
Joined: 10 Dec 2007
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To mail a package , the rate is X cents for the first pound [#permalink]  20 Jan 2008, 09:31
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To mail a package , the rate is X cents for the first pound and Y cents for an 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 id cheaper, and how much money is saved?

A. combines, with a saving of X-Y cents
B. combined, witha saving of Y-X cents.
C. combined with a sving of X cents.
D. separately, with a saving of X-Y cents.
E. separately, with a saving of Y cents.

-thanx
Director
Joined: 01 Jan 2008
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Re: PS - mail [#permalink]  20 Jan 2008, 10:54
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 X-Y.
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Re: PS - mail [#permalink]  20 Jan 2008, 18:35
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 X-Y.
Manager
Joined: 05 Oct 2011
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Re: To mail a package , the rate is X cents for the first pound [#permalink]  21 Nov 2011, 12:19
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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 3-2 or x-y)

Looking at the answer choices - A
Intern
Joined: 08 Nov 2011
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Re: To mail a package , the rate is X cents for the first pound [#permalink]  21 Nov 2011, 13:05
@icaniwill - thanks for alternate solution
Senior Manager
Status: D-Day is on February 10th. and I am not stressed
Affiliations: American Management association, American Association of financial accountants
Joined: 12 Apr 2011
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Location: Kuwait
Schools: Columbia university
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Kudos [?]: 45 [0], given: 52

Re: To mail a package , the rate is X cents for the first pound [#permalink]  21 Nov 2011, 13:35
A, try pluging in strategy and you will see that A is our man
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Re: To mail a package , the rate is X cents for the first pound   [#permalink] 21 Nov 2011, 13:35
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# To mail a package , the rate is X cents for the first pound

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