SOLUTION: A piece of wood is cut into 3 parts. The first part is 1 foot shorter than the third. The second part is 2 feet longer than 3 times the third part. How long is each part if the ent

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A piece of wood is cut into 3 parts. The first part is 1 foot shorter than the third. The second part is 2 feet longer than 3 times the third part. How long is each part if the ent      Log On

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Question 348654: A piece of wood is cut into 3 parts. The first part is 1 foot shorter than the third. The second part is 2 feet longer than 3 times the third part. How long is each part if the entire piece of wood is 26 feet?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the length of the 3rd part
given:
x+-+1 ft = length of 1st part
3x+%2B+2 ft = length of 2nd part
x+%2B+x+-+1+%2B+3x+%2B+2+=+26
5x+%2B+1+=+26
5x+=+25
x+=+5
x+-+1+=+4
3x+%2B+2+=+3%2A5+%2B+2
3%2A5+%2B+2+=+17
The parts are 4 ft, 17 ft, and 5 ft long