A small country consists of seven states; there are 189 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown,

Question

A small country consists of seven states; there are 189 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown,

State A: 1283
State B: 2374
State C: 2725
State D: 2155
State E: 1592
State F: 2511
State G: 2017

Find the standard quota asked for State C.

Okay, I have two answers that I think can be the right one. The first one I got 35.14

The second one that I got was 5982.39. Would any of these two be the right answer?

Answer 1

How could 5982.39 be right? There are only 189 seats.

Did you see my answer yesterday?

http://www.jiskha.com/display.cgi?id=1490559963

Answer 2

What is the total population for this country?

Answer 3

Yes, I did see it. I guess I misunderstood. I take the total population which is 14657 and divide it by 2725 (for C). When I it equal, I get 5.3787155.. Do I take 5.3787155 and multiply it by 189? If so, I get 1016.577724... If I am not doing it right, what am I doing wrong?

Thanks

Answer 4

2725 / 14657 = 0.1859 = 18.6%

189 * 0.1859 = 35 seats

Answer 5

To find the standard quota for State C, we need to use the method of apportionment known as the "Hamilton method" or "method of equal proportions." This method aims to allocate seats in a way that minimizes the differences in representation between states.

To calculate the standard quota, follow these steps:

Step 1: Sum up the populations of all seven states to find the total population:

Total Population = Population of State A + Population of State B + Population of State C + Population of State D + Population of State E + Population of State F + Population of State G

Step 2: Divide the total population by the total number of seats in the legislature:

Standard Quota = Total Population / Total Seats

Let's calculate the standard quota:

Total Population = 1283 + 2374 + 2725 + 2155 + 1592 + 2511 + 2017 = 14,657
Total Seats = 189

Standard Quota = 14,657 / 189 ≈ 77.497

So, the correct answer for the standard quota for State C is approximately 77.497, which means State C is entitled to 77 seats according to the Hamilton method of apportionment.