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GRE Math Challenge #38-To mail a package Jeff

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GRE Math Challenge #38-To mail a package Jeff [#permalink] New post 19 Sep 2014, 04:01
Expert's post
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Question Stats:

73% (01:05) correct 26% (00:44) wrong based on 46 sessions
To mail a package Jeff used postage worth of $1.65 that consisted of X stamps worth $0.10 each and X+1 stamps worth $0.25 each .


Column A: X
Column B: 4

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #38 [#permalink] New post 13 Apr 2015, 05:58
Expert's post
sandy wrote:
-------------------------------------------------
To mail a package Jeff used postage worth of $1.65 that consisted of X stamps worth $0.10 each and X+1 stamps worth $0.25 each .


Column A: x
Column B: 4

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

--------------------------------------------------

If Jeff buys x stamps at $0.10 apiece, then the money spent on these stamps = (0.1)(x)
If Jeff buys x+1 stamps at $0.25 apiece, then the money spent on these stamps = (0.25)(x+1)
So, we can write: (0.1)(x) + (0.25)(x+1) = 1.65
Expand to get: 0.1x + 0.25x + 0.25 = 1.65
Simplify: 0.35x = 1.40
x = 1.40/0.35
x = 4

So, we have:
Column A: 4
Column B: 4

Answer:
[Reveal] Spoiler:
C


Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: GRE Math Challenge #38-To mail a package Jeff [#permalink] New post 11 Mar 2018, 06:20
sandy wrote:
To mail a package Jeff used postage worth of $1.65 that consisted of X stamps worth $0.10 each and X+1 stamps worth $0.25 each .


Column A: X
Column B: 4

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


We get the value of the package $1.65 which consist of a X stamps worth $0.10 each and X+1 stamps worth $0.25 each.

so, 0.1x+0.25(x+1)=1.65 -----> 0.35x+0.25=1.65

x=4
Re: GRE Math Challenge #38-To mail a package Jeff   [#permalink] 11 Mar 2018, 06:20
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GRE Math Challenge #38-To mail a package Jeff

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