Calculating Percent of Trash Removed Based on Cleanup Cost

Question

The cost, C, in thousands of dollars, to remove x percent of the trash

left by a tornado is modeled by the equation C=450x/(225-x). Approximately

what percent of trash will be removed if 100 thousand dollars are

spent?

A 41%

B 50%

C 59%

D 64%

Answer 1

100 = 450x/(225 - x)

100(225 - x) = 450x

22500 - 100x = 450x

22500 = 550x

x = 22500/550 = 450/11 which is approx 41. So the answer is 41%

Answer 2

100=450x/(225-x)

it would be 100 instead of 100000 because c is in thousands

100(225-x) = 450 x, we get this by multiplying (225-x)

22500-100x=450x, distributed the 100 with the 225-x

22500 = 550x, added 100x to both sides

x= 22500/550, or approximately 41, which is 41%

Answer 3

The answer is 41%