# Actuarial Discussion Forum - Professional Discussions for Professional Actuaries

 D.W. Simpson & Co, Inc. - Worldwide Actuarial Jobs Life Jobs Health Jobs Pension Jobs Casualty Jobs Salary Apply Pauline Reimer, ASA, MAAA - Pryor Associates Nat'l/Int'l Actuarial Openings: Life P&C Health Pensions Finance ACTEX Publications and MadRiver Books Serving students worldwide for over 40 years Advertise Here - Reach Actuarial Professionals Advertising Information Actuarial Careers, Inc.® - Actuarial Jobs Worldwide Search positions by geographic region, specialization, or salary Ezra Penland Actuarial Recruiters - Top Actuarial Jobs Salary Surveys  Apply Online   Bios   Casualty   Health   Life   Pension

1. ## A simple problem

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

2. 11,000. The minimal district will come about from having all ten of the other districts exactly 10% bigger than the minimal one. Algebraically...

X = pop. in smallest district.
1.1 * X = pop in the other 10 districts. So,
132,000 = X + 10(1.1*X) = 12X.

There are currently 1 users browsing this thread. (0 members and 1 guests)

#### Posting Permissions

• You may not post new threads
• You may not post replies
• You may not post attachments
• You may not edit your posts