SOLUTION: How do you solve: A 130 foot board has been cut into three pieces. The second piece is 5 feet more than twice the first piece. The third piece is seven feet less than the second

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Question 261144: How do you solve:
A 130 foot board has been cut into three pieces. The second piece is 5 feet more than twice the first piece. The third piece is seven feet less than the second piece. How long is each piece?
Thank you
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Let the length of the first piece be x feet.
Then the length of the second piece = 2x+5
And the length of the thirs piece = (2x+5)-7=2x-2
Total length is x+2x+5+2x-2 = 130
5x+3 = 130
5x = 130-3
x = 127/5
x = 25.4 feet
The length of the first piece = 25.4 feet.
Then the length of the second piece = 2x+5 = 2*25.4+5 = 55.8 feet
And the length of the thirs piece = 2x-2 = 2*25.4-2 = 48.8 feet