Question 35453
You were very close to your correct equation:
{{{1800/x-1800/(x+25)=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.