Problema Solution
A carpenter is building a shelving system and cuts a 14-foot long of cherry, shelving into three pieces. The second piece is twice as long as the first, and the third piece is 2 feet longer than the first. Find the length of each piece of cherry shelving.
Answer provided by our tutors
Let
x = the length of the first piece
y = the length of the second piece
z = the length of the third piece
x + y + x = 114
y = 2x
z = x + 2
........
click here to see the system of equations solved for x, y and z
........
x = 28.5 ft
y = 57 ft
z = 30.5 ft
The length of the first piece is 28.5 ft, the length of the second piece is 57 ft while the length of the third piece is 30.5 ft.