SOLUTION: a board that is 12 feet long is cut into two pieces. one part is four more than twice the other. Find the length of each parts.

Question 100009: a board that is 12 feet long is cut into two pieces. one part is four more than twice the other. Find the length of each parts.
Found 2 solutions by Nate, edjones:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
s = smaller board piece
l = larger board piece
s + l = 12 and l = 2s + 4
Plug:
s + 2s + 4 = 12
3s = 8
s = 8/3 ft
Plug:
s + l = 12
8/3 + l = 36/3
l = 28/3 ft
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
let the pieces be x and y
x+y=12
x=2y+4
.
x+y=12
x-2y=4
-------subtract the 2nd from the 1st
=>3y=8
y=8/3= 2 2/3
x=12-8/3=9 1/3
Check:
28/3=2*8/3+4...28/3=16/3+12/3...28/3=28/3
Ed
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