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In a nationwide poll, P people were asked whether they would

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In a nationwide poll, P people were asked whether they would [#permalink] New post 30 Oct 2006, 05:04
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In a nationwide poll, P people were asked whether they would vote for independent candidates in national and local elections. If 20 percent of these people said they would vote for an independent candidate in a national election, and of those, 90 percent said they would vote for an independent candidate in a local election, what expression represents the number of people polled who would vote for an independent candidate in a national but not in a local election?

sorry, don't have the OA for this one but it's from Kaplan
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 [#permalink] New post 30 Oct 2006, 07:49
In a nationwide poll, P people were asked whether they would vote for independent candidates in national and local elections. If 20 percent of these people said they would vote for an independent candidate in a national election, and of those, 90 percent said they would vote for an independent candidate in a local election, what expression represents the number of people polled who would vote for an independent candidate in a national but not in a local election?
let's take P=100

20 percent of these people said they would vote for an independent candidate in a national election=20

and of those, 90 percent said they would vote for an independent candidate in a local election=20*0.9=18

number of people polled who would vote for an independent candidate in a national but not in a local election=2
expression can be written as follows
P*0.2-{(P*0.2)*0.9}=
P*0.2(1-0.9)=
P*0.2*0.1=P*0.02 or 2P/100
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0.02P [#permalink] New post 30 Oct 2006, 08:19
20% said theyll vote in national P*20/100=0.2P

90% of those will vote in local or 10% said will not not in local

10 % of 0.2P= 0.2*P*10/100= 0.02*P

Hence the eq = 0.02P
0.02P   [#permalink] 30 Oct 2006, 08:19
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In a nationwide poll, P people were asked whether they would

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