A. \(10,700\)

B. \(10,800\)

C. \(10,900\)

D. \(11,000\)

E. \(11,100\)

The OA is D

**Source: GMAT Prep**

A. \(10,700\)

B. \(10,800\)

C. \(10,900\)

D. \(11,000\)

E. \(11,100\)

The OA is D

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Let x = the population of the district with the LOWEST population.swerve wrote: ↑Sun Jul 31, 2022 8:47 amA 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. \(11,100\)

The OA is D

Source: GMAT Prep

To MINIMIZE the population in the smallest district, we must MAXIMIZE the population of the other 10 districts.

IMPORTANT: No other district can exceed x by more than 10%.

So 1.1x = the MAXIMUM population of each of the other 10 districts.

The TOTAL population is 132,000, so we can write:

(population of smallest district) + (population of other 10 districts) = 132,000

Rewrite as: x + [(10)(1.1x)] = 132,000

Simplify: 12x = 132,000

x = 11,000

Answer: D

Cheers,

Brent