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# Each writer for the local newspaper is paid as follows: a

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Senior Manager
Joined: 22 Sep 2005
Posts: 276
Each writer for the local newspaper is paid as follows: a [#permalink]

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13 Oct 2006, 14:13
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Each writer for the local newspaper is paid as follows: a dollars for each of the first n stories each month, and a+b for each story therafter, where a>b. How many more dollars will a writer who submits n+a stories in a month earn than a writer who submits n+b stories?

A) (a-b)(a+b+n)
B) a-b
C) a^2-b^2
D) n(a-b)
E) an+bn-an
SVP
Joined: 05 Jul 2006
Posts: 1747

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13 Oct 2006, 14:21
Each writer for the local newspaper is paid as follows: a dollars for each of the first n stories each month, and a+b for each story therafter, where a>b. How many more dollars will a writer who submits n+a stories in a month earn than a writer who submits n+b stories?

A) (a-b)(a+b+n)
B) a-b
C) a^2-b^2
D) n(a-b)
E) an+bn-an

N+A WRITER = A+(A+B)A

N+B = A+(A+B)B

A+A^2+AB - A-AB-B^2 = A^2 - B^2

Director
Joined: 23 Jun 2005
Posts: 841
GMAT 1: 740 Q48 V42

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13 Oct 2006, 19:49
C

Writer A: an + a(a+b)
Writer B: an + b(a+b)

Difference = a^2 - b^2
Senior Manager
Joined: 22 Sep 2005
Posts: 276

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14 Oct 2006, 07:02
Thanks guys. Now that I know that solution I think: "oh, what a stupid question!!!"

Regards
14 Oct 2006, 07:02
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