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A political candidate collected $1,749 from a fund raising dinner. If

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A political candidate collected $1,749 from a fund raising dinner. If  [#permalink]

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New post 03 Nov 2014, 07:17
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Difficulty:

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Question Stats:

77% (01:09) correct 23% (01:13) wrong based on 203 sessions

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Tough and Tricky questions: Min/Max.



A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the greatest possible number of contributors at the dinner?

A. 33
B. 34
C. 35
D. 36
E. 37

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Joined: 12 May 2013
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Re: A political candidate collected $1,749 from a fund raising dinner. If  [#permalink]

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New post 03 Nov 2014, 14:16
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Bunuel wrote:

Tough and Tricky questions: Min/Max.



A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the greatest possible number of contributors at the dinner?

A. 33
B. 34
C. 35
D. 36
E. 37


Greatest possible number of contributors is achieved when as many as possible contributed $50

\(\frac{1,749}{50} = 50*34 + 49\)

Correct answer is B

:-D
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Re: A political candidate collected $1,749 from a fund raising dinner. If  [#permalink]

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New post 03 Nov 2014, 14:52
2
I used the "ballpark" method in this problem to get to the answer a bit faster. By rounding the total donation up by $1, I got:
1749 =~ 1850.

It was then much easier for me to do the division of 1850 by 50 (or 185 divided by 5) and then subtract 1 from my answer for the estimation I did earlier.
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Re: A political candidate collected $1,749 from a fund raising dinner. If  [#permalink]

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New post 03 Nov 2014, 19:37
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1
Bunuel wrote:

Tough and Tricky questions: Min/Max.



A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the greatest possible number of contributors at the dinner?

A. 33
B. 34
C. 35
D. 36
E. 37


Nearest to \(1749 \approx{1750}\)

\(\frac{1750}{50} = 35\) (Caution: Collection is 1750 - 1 = 1749)

Counting 1 less = 50*34 = 1700 >> 49 remains which will be adjusted with the 34 members

51* 34 = 1734 >> 15 remains which will be adjusted with 15 members

52 * 15 + 51 * 19 = 780 + 969 = 1749

Answer = B
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Re: A political candidate collected $1,749 from a fund raising dinner. If  [#permalink]

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New post 09 Nov 2014, 10:12
go under 1749...say you have 34 people. that gives you 34*50= 1700. You still have $49 to go, but no one contributed under $50.
So go under 34...say you have 33 people. then you'd have $1650. Well now 33 people contributed $1650, and the 34th one contributed the rest to total to $1749.
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Re: A political candidate collected $1,749 from a fund raising dinner. If  [#permalink]

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New post 17 Jul 2018, 13:22
1
Bunuel wrote:

Tough and Tricky questions: Min/Max.



A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the greatest possible number of contributors at the dinner?

A. 33
B. 34
C. 35
D. 36
E. 37



Total collection = $1749

We are asked to maximize the number of contributors. So, we must minimize the contribution. Consider each one contributed $50.

Option A) 33*50 = 1650. So much less the the collection

Option B) 34*50 = 1700.

Option C) 35*50 = 1750. one dollar more than the total collection .

The best answer is B.
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Re: A political candidate collected $1,749 from a fund raising dinner. If &nbs [#permalink] 17 Jul 2018, 13:22
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