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If 15 people contributed a total of $20.00 toward a gift and each of

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If 15 people contributed a total of $20.00 toward a gift and each of  [#permalink]

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New post 23 Nov 2015, 12:22
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If 15 people contributed a total of $20.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is

(A) $1.00
(B) $1.25
(C) $5.00
(D) $6.00
(E) $20.00

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Re: If 15 people contributed a total of $20.00 toward a gift and each of  [#permalink]

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New post 23 Nov 2015, 18:51
To find the maximum possible amount any one person could have contributed , we need to minimise the
contributions of the remaining 14 people.
If 14 people contribute 1$ each ,
then contribution of the last guy = 20 - 14 = 6$

Answer D
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Re: If 15 people contributed a total of $20.00 toward a gift and each of  [#permalink]

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New post 24 Nov 2015, 06:18
D for me
14 people with 1$ each -> maximum = 6
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If 15 people contributed a total of $20.00 toward a gift and each of  [#permalink]

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New post Updated on: 14 Mar 2018, 18:14
Hi All,

This is an example of a 'limit' question (wherein the question asks for a minimum or maximum value based on a series of restrictions).

Here, we're told that 15 people must each contribute AT LEAST $1 to a total of $20. We're asked for the MAXIMUM that could be contributed by any one person.

To start, we need to minimize 14 people so that the 15th person can be 'maximized.' The minimal amount for each person is $1, so those 14 people would have to contribute 14($1) = $14 at the minimum. Assuming that only the minimum was contributed, the 15th person would contribute all of the remaining money:

$20 - $14 = $6

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Originally posted by EMPOWERgmatRichC on 24 Nov 2015, 23:45.
Last edited by EMPOWERgmatRichC on 14 Mar 2018, 18:14, edited 1 time in total.
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Re: If 15 people contributed a total of $20.00 toward a gift and each of  [#permalink]

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New post 13 Mar 2018, 16:09
Bunuel wrote:
If 15 people contributed a total of $20.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is

(A) $1.00
(B) $1.25
(C) $5.00
(D) $6.00
(E) $20.00


If 14 people contributed 1 dollar, then the remaining person would have had to contribute 6 dollars.

Answer: D
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Re: If 15 people contributed a total of $20.00 toward a gift and each of &nbs [#permalink] 13 Mar 2018, 16:09
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