Question

There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulation that the number of oak trees on this piece of land cannot exceed one-third of the total number of trees. Find how many oak and pine trees are on this piece of land and determine whether the solution is viable or nonviable.

A: There are 36 oak trees and 78 pine trees. The solution is nonviable.
B: There are 44 oak trees and 70 pine trees. The solution is viable.
C: There are 44 oak trees and 70 pine trees. The solution is nonviable.
D: There are 36 oak trees and 78 pine trees. The solution is viable.

Answer 1

C. There are 44 oal trees and 70 pine trees

Answer 2

Answer: C) 44 Oak trees and 70 Pine trees

Step-by-step explanation:

Oak : o

Pine : p

Based on the info given,

o + p = 114

p = o + 26

You then have to substitute the P value into the original equation:

o + (o + 26) = 114 (remove the parenthesis here and solve)

o + o + 26 = 114

2o + 26 = 114

2o = 88

o = 44

There are 44 Oak trees

Hope this helps !