SOLUTION: In the planning stages of the renovation of an 1800-square-foot space, the amount of office space allocated per person is increased by 25 square feet when 6 people are removed to a

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: In the planning stages of the renovation of an 1800-square-foot space, the amount of office space allocated per person is increased by 25 square feet when 6 people are removed to a      Log On


   



Question 35453: In the planning stages of the renovation of an 1800-square-foot space, the amount of office space allocated per person is increased by 25 square feet when 6 people are removed to an adjoining building. How many people share this renovated space after the move?
How much space does each person have?
1800/x + 25 = 1800/x – 6

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
You were very close to your correct equation:
1800%2Fx-1800%2F%28x%2B25%29=6
1800[(x)-(x+25)]=6[(x)(x+25)]
1800(75)=6x^2+150x
x^2+25x-7500=0
FactorL
x+100 and x-75
x=75
Hence, each person has 75 square feet of space.
Paul.