SOLUTION: there are 850 douglas fur and ponderosa pine trees in a section of the forest bought by hoodoo logging company. The company paid an average of $300.00 for each douglas fur and $225

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: there are 850 douglas fur and ponderosa pine trees in a section of the forest bought by hoodoo logging company. The company paid an average of $300.00 for each douglas fur and $225      Log On

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Question 23264: there are 850 douglas fur and ponderosa pine trees in a section of the forest bought by hoodoo logging company. The company paid an average of $300.00 for each douglas fur and $225.00 for each ponderosa pine. If the company paid $217,500.00 for the trees , how many of each kind did the company buy?
Answer by stanbon(48567) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of fur trees be "x".
Then number of pine trees is "850-x"
Value of fur trees is (300)x dollars
Value of pine trees is (225)(850-x)= 191250-225x dollars
EQUATION:
Value of fur + Value of pine = 217500 dollars
300x + 191250-225x=217500
75x = 26250
x = 350 (number of fur trees)
850-x = 500 (number of pine trees)
Cheers,
Stan H.