Problema Solution
Three types of trees are in a local park. The number of aspens is 4 more than twice as many oaks, and the number of maples is 50 more than the number of oaks. There are a total of 875 trees in the part. How many of each kind are there?
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let
x = the number of aspens
y = the number of oaks
z = the number of maples
where x, y and z are positive integers
the number of aspens is 4 more than twice as many oaks
x = 4 + 2y
the number of maples is 50 more than the number of oaks
z = 50 + y
there are a total of 875 trees in the part
x + y + z = 875
by solving the system of equations:
x = 4 + 2y
z = 50 + y
x + y + z = 875
we find:
x = 414.5 aspens
y = 205.25 oaks
z = 255.25 maples
click here to see the step by step solution of the system of equations:
thus we conclude the system thus the problem has no integer solutions.