SOLUTION: Trying to figure out the equation for the following word problem: A carpenter is building a shelving system and cuts a 14-foot long of cherry, shelving into three pieces. The seco

Question 1065917: Trying to figure out the equation for the following word problem:
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.
Help is greatly appreciated.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= length (in feet) of the first piece of shelving
= length (in feet) of the second piece of shelving
= length (in feet) of the third piece of shelving
That should add the the feet length of shelving the carpenter cut,
so is the equation to start with.
Of course, it can be "simplified" by "collecting like terms" to
.
Solving that, you get

and then
and .
So, the first, second and third pieces of shelving are
3 feet long, 6 feet long, and 5 feet long respectively.
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