I am looking for help setting this problem up please. Thanks
Lets represent x as the number of firs and y as the number of pines.
The sum of both is 850 ==> x + y = 850
The total price of each type is determined by the price of the type of tree multiplied by the number of trees, add them up and you'll get 217500.
==> 300x + 225y = 217500
these are your two equations needed to solve the problem.
You can solve the first equation in terms of x ==> x=850-y
Now substitute this equation into the second equation.
300(850-y) + 225y = 217500
==> 255000-300y + 225y = 217500
==> 255000 - 75y = 217500
==> -75y = -37500
==> y = 500
Now take this answer to the first equation
==> x + 500 = 850
==> x = 350
The number of firs is 350 and the number of pines is 500.
They should be fined by the EPA for sawing without a license,
350 douglas and 500 ponderosa
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