SOLUTION: The members of a flying club plan to share equally the cost of a $200,000.00 airplane. The members want to find five more people to join the club so that the cost per person will d

Algebra ->  Square-cubic-other-roots -> SOLUTION: The members of a flying club plan to share equally the cost of a $200,000.00 airplane. The members want to find five more people to join the club so that the cost per person will d      Log On


   

Question 250642: The members of a flying club plan to share equally the cost of a $200,000.00 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000.00, How many members are currently in the club?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Currently let's assume there are N people.
The cost per person is
C1=200000%2FN
Once 5 more people join then the cost per person is then
C2=200000%2F%28N%2B5%29
You know that
C2=C1-2000
Substitute,
C2=C1-2000
%28200000%2F%28N%2B5%29%29=%28200000%2FN%29-2000
200000N=200000%28N%2B5%29-2000N%28N%2B5%29
200N=200%28N%2B5%29-2N%28N%2B5%29
200N=200N%2B1000-2N%5E2-10N
2N%5E2%2B10N-1000=0
N%5E2%2B5N-500=0
%28N%2B25%29%28N-20%29=0
N-20=0
N=20
There are currently 20 people in the club.