Quick Math Question

Hi GMATPill,

I am a few days away from my exam and I wanted to reach out and ask you a question that I saw on my recent practice test. The question is as follows:

A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have?

A. 10,700
B. 10,800
C. 10,900
D. 11,000
E. 11,100

When I saw this I completely froze. Even after looking at this question with some time on my side, I don’t even know where to begin. Can you walk me through how you would attack this problem?
Thanks for your help.

Best regards,

James

——————–

Hi James,

If you want to minimize the possible population for 1 specific district, then the other 10 must be at the maximum–which is 10% more than that single minimum.

Let x = that 1 district. The other districts must be 10% greater.

So
x + (1.1)*10*x = 132,000

x+11x = 132,000
12x=132,000
x=11,000

So the answer would be D.
Hope that helps.

GMAT Pill Support Team

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