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There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid 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?

User GNerb
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350 Douglas Firs, 500 Ponderosa Pines.

There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by-example-1
User Natario
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Answer:

Douglas fir trees are 350 in number and Ponderosa pine trees are 500 in number.

Explanation:

Let the number of Douglas fir be denoted by 'x'

Let the number of Ponderosa pine trees be denoted by 'y'

The company paid average of $300 for each Douglas fir and $225 for each Ponderosa pine.

This gives,
300x for total Douglas fir trees and
225y for total Ponderosa pine trees.

Total amount paid by the company = 217500

Also given, there are 850 Douglas fir and Ponderosa pine trees which means ;


x+y=850 or


x=850-y ......................(1)


300x+225y=217500 .............(2)

Putting the value of 'x' from equation 1 into equation 2.


300(850-y)+225y=217500

Now, solving this equation we get,


255000-300y+225y=217500


-300y+225y=217500-255000


75y=37500


y=500

And we know
x+y=850

So, x =
850-500=350

Hence, Douglas fir trees are 350 in number and Ponderosa pine trees are 500 in number.

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