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

Question

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

TehMoUsE · Answer

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

LighthousePrep · Answer

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.

PareshGmat · Answer

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

usre123 · Answer

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

KSBGC · Answer

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.

ManishaPrepMinds · Answer

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

Solution:

In order to find the maximum number of contributors, most of the contributors should minimize the contribution which is $50

Let's go with the answer choices, for the questions asking maximum value it's always better to start with maximum value, here which is option E

33
34 34*50=$1700+49, thus 33 contributors will pay $50 and 1 contributor will pay $99 
35 35*50=$1750 Eliminate as its greater than the amount collected
36 36*50=$1800 Eliminate as its greater than the amount collected
37 37*50=$1850, Eliminate as its greater than the amount collected

Hence Answer: B

aash932 · Answer

Hi
I want to ask that why we want to minimize the contribution ? 
Can you please elaborate it further ?
 Thank you

ManishaPrepMinds · Answer

The reason to minimize the contribution is to get the maximum number of contributors at the dinner as per the question asked

If there are 34 candidates:

All 33 candidates will pay min $50 which amounts to = 33*50=1650
and only 1 candidate will pay $99 
thus, 1650+99=$1749, which equals the total contribution given.

Hope it is clear!

VibhuAnurag · Answer

The answer is B. A simple way to approach this question is, just remember --> In order to maximize the # of contributors, we must minimize each one's contribution, i.e. $50. Now, 1749/50 = ~35 (it is actually 34.xxx because it is a little less than 1750). --> have to do good old approximation (practice getting good at it!) as our buddy GMAT doesn't let us use calculators

So, we are unable to reach 35 --> the maximum number of people is 34.

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

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