SOLUTION: A used car salesman purchased a number of very old battered cars during the past month. He paid the same price, $89, for each. He has not yet sold all of the cars, but those that h

Question 1031529: A used car salesman purchased a number of very old battered cars during the past month. He paid the same price, $89, for each. He has not yet sold all of the cars, but those that he has sold went for $225, a piece. He has already made a profit of $2,327 (total sale price minus outlay for all cars purchased). If his car lot has room for no more than 50 cars at one time, how many cars remain?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of cars he sold
Let = the number of cars remaining
-----------------------------------
(1) = cost of all the cars he bought
(2) profit after selling cars
(3)
----------------------
(2)
(2)
-------------------------
I think I got this by trial and error
First, I divided
so, must be at least
Then I tried different value for

9 cars remain
-----------------
check:

(2)
(2)
(2)
(2)
OK
Maybe there is a systematic way to
get the answer -I don't know what it is.
Hope this helps
RELATED QUESTIONS
Tim is a car salesman and earns 5% of the price of the cars he sells. Last month, he sold (answered by MathLover1)

A used car salesman buys a car for $2,500 and sells it for $4,327. he then buys a camper (answered by mbarugel)

A used car salesman buys a car for $2500 and sells it for $4327. He then buys a camper... (answered by checkley71)

Hi a car salesman purchases 10 cars for 12000 dollars each. He sells 7 of them at a... (answered by Theo,MathTherapy)

Bob has a very old car that he;d like to replace. The old car costs $250 each month for... (answered by ankor@dixie-net.com)

Hans paid $1.50 ea. For programs to the game. He sold all but 20 of them for $ 3.00 ea.... (answered by jim_thompson5910)

A car salesman has been selling cars at the local dealership for the past 15 years. He... (answered by stanbon)

Michael bought two used cars and fixed them up. He sold the first one for a 35% profit... (answered by ankor@dixie-net.com)

A used car salesman is paid a 5% commission on each car he sells. If he is paid $750 on a (answered by ikleyn)