Question 281982
Let x=number of members currently in the club

($ understood)
cost per person=(200,000)/x
With five more people in the club the cost per person would be (200,000)/(x+5)

Now we are told that:
{(200,000)/x}-2000=(200,000)/(x+5)  multiply each term by x(x+5)
(200,000)(x+5)-2000x(x+5)=200,000x  get rid of parens
200,000x+1,000,000-2000x^2-10,000x=200,000x  divide each term by 2000
100x+500-x^2-5x=100x  subtract 100x from each side and then multiply each term by -1
x^2+5x-500=0---quadratic in standard form and it can be factored
(x+25)(x-20)=0
x=-25----------------------no good members are positive
x=20--------------------number of members currently in the club

CK
200,000/20=$10,000 per member
200,000/25=$8000 per member or $2000 less per member

Hope this helps---ptaylor