harishsridharan wrote:
Acreage of Hopetown, a town in Lewis County, is equal to 20 percent of the acreage of the region that is in Lewis County but not in Hopetown.
Quantity A |
Quantity B |
The acreage of Hopetown as a percent of the entire acreage of Lewis County |
18% |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Here's what the situation looks like:
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All of the area contained within the red line is Lewis County.
So, if we let
x = the area of the region that is in Lewis county but NOT in Hopetown, then
0.2x = the area of Lewis County
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This means the TOTAL area of Lewis County =
x +
0.2x =
1.2xSo, the area of Hopetown as a percent of the entire area of Lewis County = the equivalent percentage represented by
0.2x/
1.2x0.2x/
1.2x = 0.2/1.2 = 1/6 = 16.666...%So we have:
QUANTITY A:
16.666...%QUANTITY B: 18%
Answer: B