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In a town of 17,000 residents, 65 percent of all residents

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Director
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Joined: 10 Feb 2006
Posts: 664
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Kudos [?]: 65 [0], given: 0

In a town of 17,000 residents, 65 percent of all residents [#permalink] New post 17 Nov 2007, 06:41
00:00
A
B
C
D
E

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In a town of 17,000 residents, 65 percent of all residents own a car, 55 percent own a motorcycle, and 25 percent own neither a car nor a motorcycle. How many residents own a car but not a motorcycle?
2,150
3,400
4,300
5,900
7,650


Please provide some assistance.
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VP
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Joined: 08 Jun 2005
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Kudos [?]: 118 [0], given: 0

 [#permalink] New post 17 Nov 2007, 07:03
C = Car
M = Motorcycle
B = Both

C+M-B = 0.75 ---> since 25% own none.

0.65+0.55-B = 0.75

B = 0.45

C = 0.65-0.45 = 0.2

17,000*0.2 = 3,400

the answer is (B)

:)
Senior Manager
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Re: PS - [#permalink] New post 17 Nov 2007, 07:09
alimad wrote:
In a town of 17,000 residents, 65 percent of all residents own a car, 55 percent own a motorcycle, and 25 percent own neither a car nor a motorcycle. How many residents own a car but not a motorcycle?
2,150
3,400
4,300
5,900
7,650


Please provide some assistance.


It is B,

0.65*17000+0.55*17000-a+0.25*17000 = 17000
a = 0.45*1700 (a is number of people owning a car and motorcycle)

so, if we subtract 0.65-0.45 we will find the share of people owning only a car.

0.20*17000 = 3400

Ans: B
Re: PS -   [#permalink] 17 Nov 2007, 07:09
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In a town of 17,000 residents, 65 percent of all residents

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