Answer
A – 4 seats
B – 6 seats
C – 8 seats
D – 12 seats
Work Step by Step
The populations, in thousands, are:
A – 275
B – 383
C – 465
D – 767
Total – 1890
The total number of seats is 30.
Since we're assigning seats according to population, we can calculate how many thousands of people should equate to one seat.
$1890\div30=63$ thousands of people.
With that in mind, the states should have:
A - $275\div63\approx4.37 seats$
B - $383\div63\approx6.08 seats$
C - $465\div63\approx7.38 seats$
D - $767\div63\approx12.17 seats$
However, we need whole numbers, so when we round down, we have:
A – 4 seats
B – 6 seats
C – 7 seats
D – 12 seats
We have $30-12-7-6-4=1$ seat left.
It would be fair to give it to the state which has the highest value after the decimal point, as that state's people becomes the least influential as a result of the rounding down.
This gives state C another seat.
The final allocation of seats is:
A – 4 seats
B – 6 seats
C – 8 seats
D – 12 seats
