The population of a certain town increases by 50 percent every 50 years. If the population in 1950 was 810, in what year was the population 160?  Choose the correct choice from the following answers
A) 1650 B) 1700 C) 1750 D) 1800 E) 1850
If the population increases by 50% then you're multiplying the previous number by 3/2. So to work backwards, divide by 3/2 (which is the same as multiplying by 2/3).   So we have:   1950: 810   1900: 810*(2/3) = 540   1850: 540*(2/3) = 360   1800: 360*(2/3) = 240   1750: 240*(2/3) = 160   Answer is 1750
<result>C</result>
The population of a certain town increases by 50 percent every 50 years. If the population in 1950 was 810, in what year was the population 160?