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A church collected exactly $303 from its members during a

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Director
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A church collected exactly $303 from its members during a [#permalink] New post 21 Nov 2005, 19:12
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A church collected exactly $303 from its members during a service. If each member contributed at least $2, what is the greatest number of members that could have attended this perticular service.

a)140
b)150
c)151
d)152
e)153
Director
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 [#permalink] New post 21 Nov 2005, 19:35
150 members (150*2 = $300) + 1 member ($3) = 151 members ($303) C
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 [#permalink] New post 21 Nov 2005, 21:04
My answer is C.

In order to maximize the number of guests, we need to minimze the contribution.

So assume everyone contributed $2....

$2*150 = $300
$3*1 = $3
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 [#permalink] New post 21 Nov 2005, 21:31
Greatest number is when every contributes the least amount. For this to happen, someone has to contribute 3 dollars, leaving 300 to be split among 150 members. So total # = 151 members.
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 [#permalink] New post 23 Nov 2005, 00:34
Another C. To maximize, set the lowest possible limit at $2. 2*150=300 with one member donating $3.
Director
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 [#permalink] New post 25 Nov 2005, 02:25
For greatest no of people to come, most people should have given only 2. No of people who gave 2 is 302/2 = 151. One person would have given $3.
So ans = 151
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Re: PS-Members [#permalink] New post 29 Oct 2007, 11:51
cool_jonny009 wrote:
A church collected exactly $303 from its members during a service. If each member contributed at least $2, what is the greatest number of members that could have attended this perticular service.

a)140
b)150
c)151
d)152
e)153


looking to multiply 2 * a number to equal 303. 303 is not divisible so we go down 1 because we want the minimum contribution per person of 2 dollars. someone will end up doanting 3 dollars.

C.
Re: PS-Members   [#permalink] 29 Oct 2007, 11:51
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