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03 Nov 2014, 14:16
2
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 _________________ Feel free to message if you have any questions :D Manager Joined: 21 Jul 2014 Posts: 125 Re: A political candidate collected$1,749 from a fund raising dinner. If  [#permalink]

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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. SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1825 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: A political candidate collected$1,749 from a fund raising dinner. If  [#permalink]

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03 Nov 2014, 19:37
1
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

_________________

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Manager
Joined: 30 Mar 2013
Posts: 109
Re: A political candidate collected $1,749 from a fund raising dinner. If [#permalink] ### Show Tags 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.
B
Director
Joined: 31 Oct 2013
Posts: 881
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: A political candidate collected $1,749 from a fund raising dinner. If [#permalink] ### Show Tags 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. Re: A political candidate collected$1,749 from a fund raising dinner. If &nbs [#permalink] 17 Jul 2018, 13:22
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