6. Consider the following: Last fall I was part of an eagle viewing tour in Squamish. When we got there, we noticed that initially there were some eagles at the

top of the trees and some were on the ground, close to the river. We also noticed that the number of eagles on the trees was the same as the number of eagles on the ground. After a few minutes, two eagles flew from the tree to the ground,so that the number of eagles on the trees was half the number of eagles on the ground. How many eagles were initially in the tree? How many were initially on the ground? How many eagles were there in total? Solve this problem by completing the following steps: (a) identify the unknowns (b) introduce variables to represent the unknowns (c) write equations which express the information given in the statement of the problem (d) solve the equations (e) check the solutions (f) answer the question