Question 40649
There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co.  The company paid an average of $300 for each Douglas fir and $225 for each ponderosa pine.  If the company paid $217,500 for the trees, how many of each kind did the company buy?

	 x = number of Douglas fir trees
   850 – x = number of Ponderosa pine trees

	300x + 225(850 - x)   = 217,500
	300x + 191,250 - 225x = 217,500
	  75x + 191,250       = 217,500 
	      - 191,250        - 191,250
             ____________________________
	75x			=  26,250  divide by 75
        ___divide
	75x
		x = 350 Douglas fir trees
	  850 – x = 500 Ponderosa Pine trees