Math County

Math County Needs your help!

Nicole is the clerk of Math County, and needs to know the total population of the county. Although there is no census information Nicole does know some key pieces of information about the three towns that make up the county.

  • The sum of 1/2, 1/3, 1/4, and 1/5 the population of Haganville is exactly the population of Lehrland.

  • The sum of 1/6, 1/7, 1/8, and 1/9 the population of Haganville is exactly the population of Gorskytown.

  • No more than 4,000 people live in any if the three towns.

  • The population of the three towns is the population of Math County.

    • A. What is the population of Haganville?

      • B. What is the population of Lehrland?

      • C. What is the population of Gorskytown ?

      • D. What is the population of Math County?