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

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Each writer for the local newspaper is paid as follows: a [#permalink] New post 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
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 [#permalink] New post 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

MY ANSWER IS C
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 [#permalink] New post 13 Oct 2006, 19:49
C

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

Difference = a^2 - b^2
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 [#permalink] New post 14 Oct 2006, 07:02
Thanks guys. Now that I know that solution I think: "oh, what a stupid question!!!"

Regards
  [#permalink] 14 Oct 2006, 07:02
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