SOLUTION: A fifteen foot board is cut into three lengths The first piece is one foot shorter than the third piece. The second piece is two feet longer than 1/3 the length of the third piece

Algebra ->  Equations -> SOLUTION: A fifteen foot board is cut into three lengths The first piece is one foot shorter than the third piece. The second piece is two feet longer than 1/3 the length of the third piece      Log On


   

Question 1018851: A fifteen foot board is cut into three lengths The first piece is one foot shorter than the third piece. The second piece is two feet longer than 1/3 the length of the third piece. What is the length of the third piece?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC=15
A=C-1
B=2%2BC%2F3
Substituting,
C-1%2B2%2BC%2F3%2BC=15
%287%2F3%29C%2B1=15
%287%2F3%29C=14
C=%283%2F7%2914
C=6
Then,
A=6-1=5
and
B=2%2B6%2F3=2%2B2=4