Each year, Carroll County gives an award to the town
that has most increased the area of its green space in the past 12 months. To earn the zoning designation “green space,” a lot must produce less carbon than it absorbs. Examples of land that qualifies as green space include parks, cemeteries, office buildings with highly efficient cooling systems, and homes with large gardens. 55% of the town of Arlington is designated as green space, while 45% of Barrington is designated as green space. Arlington officials have passed an ordinance declaring that any new office buildings built in Arlington in the next 12 months must have highly efficient cooling systems. Barrington officials have responded with a plan to open several new parks in the next 12 months. Barrington officials are confident that they will be ranked ahead of Arlington in the competition for the Carroll County award.
Less carbon => Green Space
has most increased the area of its green space in the past 12 months => Award goes to that
so area doesn't matter, what matters is of increase in area
A = total area of Arlington
B = total area of Barrington
Assuming that total Area A & B will remain same after the implementation.
Current situation:
Arington Barrington
green space A(55%) B(45%)
After situation:
Arington Barrington
green space A(x%) B(y%)Barington will win if B(y-45)> A(x-55)So there are total 4 variables that could alter the result.
Which of the following, if true, would most justify the officials’ confidence that Barrington will beat Arlington in the award rankings?
(A) Barrington’s new parks will increase its green space by 30%, while Arlington’s new office buildings will increase its green space by only 15%.
(B) Arlington’s additional green space will not exceed 80% of Barrington’s additional green space.
Arlington’s additional green space <= (.8) * Barrington’s additional green space.
A(x-55) <= (.8) B(y-45)
Now we have additional green space increase for both A & B. Whatever increase of B , A will be below 80% of that. Directly implying "Increase" of B will be greater than A.
(C) Arlington’s new office buildings will constitute 10% of its existing green space, while Barrington’s new parks will constitute 20% of its existing green space.
Green space area up by for A = 5.5A
Green space area up by for B = 9B
But there is a catch, we only know what "additional factor mentioned in the question stem is contributing" We dont know the actual green space for both the cities.
(D) The area of Arlington is no larger than that of Barrington. :-
Area is not the point (E) Barrington’s
new parks will bring its percentage of green space to 65%, while Arlington’s
new office buildings will bring its percentage of green space to only 60%.
Same as C
But there is a catch, we only know what "additional factor mentioned in the question stem is contributing" We don't know the actual green space for both the cities.
I just want to know my reasoning for C & E is ok. I think A and E is wrong not because % increase of green space - increase of green area thing. I thing it's wrong because it only talk about new park and new office building contribution, and not overall picture. I still feel that only mentioning change by new parks & new office buildings is a problem because there is other factors also that can affect the increase in green space area. We can't assume that. so A , C & E is wrong.