A small county has populations in three regions as shown below. They have apportioned 15 seats on the county council and obtained the apportionment for each region shown. Find the difference in district population between the Parkview and Hillside regions. $$\begin{array} { l c c }
\text { District } & \text { Population } & \text { Apportionment } \
\text { Parkview } & 43,000 & 6 \
\text { Hillside } & 32,800 & 5 \
\text { Riverdale } & 24,200 & 4
\end{array}$$
A) 10,200
B) 607
C) 6267
D) 2867

Question

A small county has populations in three regions as shown below. They have apportioned 15 seats on the county council and obtained the apportionment for each region shown. Find the difference in district population between the Parkview and Hillside regions. $$\begin{array} { l c c } 
\text { District } & \text { Population } & \text { Apportionment } \
\text { Parkview } & 43,000 & 6 \
\text { Hillside } & 32,800 & 5 \
\text { Riverdale } & 24,200 & 4
\end{array}$$
A) 10,200
B) 607
C) 6267
D) 2867

Quizplus · Accepted Answer

The difference in district population between the Parkview and Hillside regions is equal to the absolute value of the difference between their apportionments multiplied by the total district population, divided by the total number of apportioned seats. In this case, we have:

$|6-5|\cdot\dfrac{43{,}000+32{,}800+24{,}200}{15}=607$

Therefore, the answer is B) 607.

A Small County Has Populations in Three Regions as Shown