SOLUTION: How do I find the answer to this problem? Recovering an investment. The manager at Cream of the Crop bought a load of watermelons for $200. She priced the melons so that she w

Algebra ->  Equations -> SOLUTION: How do I find the answer to this problem? Recovering an investment. The manager at Cream of the Crop bought a load of watermelons for $200. She priced the melons so that she w      Log On


   

Question 309010: How do I find the answer to this problem?
Recovering an investment. The manager at Cream of
the Crop bought a load of watermelons for $200. She
priced the melons so that she would make $1.50 profit on
each melon. When all but 30 had been sold, the manager
had recovered her initial investment. How many did she
buy originally?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
x = number of watermelons

" She priced the melons so that she would make $1.50 profit on each melon" ___ p = (200/x) + 1.50

"When all but 30 had been sold, the manager had recovered her initial investment" ___ (x-30)(p) = 200

200x - 6000 + 1.5x^2 - 45x = 200x ___ x^2 - 30x - 4000 = 0

factoring ___ (x - 80)(x + 50) = 0

x = 80