Problema Solution

Three types of trees are in a local park. The number of aspens is 4 more than twice as many oaks, and 50 more maples than oaks. There are a total of 874 trees in the park. How many of each kind are there?

Answer provided by our tutors

let


x = the number of aspens


y = the number of oaks


z = the number of maples


The number of aspens is 4 more than twice as many oaks:


x = 4 + 2y


and 50 more maples than oaks:


z = 50 + y


There are a total of 874 trees in the park:


x + y + z = 874


by solving the system of equations:


x = 4 + 2y


z = 50 + y


x + y + z = 874


we find:


x = 414 aspens


y = 205 oaks


z = 255 maples


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there are 414 aspens, 205 oaks and 255 maples.