SOLUTION: A 64 inch board is cut into three pieces. The second piece is 3 in. longer than the first piece. The third piece is 4 in. longer than the second piece. How long is each piece?

Algebra ->  Linear-equations -> SOLUTION: A 64 inch board is cut into three pieces. The second piece is 3 in. longer than the first piece. The third piece is 4 in. longer than the second piece. How long is each piece?      Log On


   

Question 159745: A 64 inch board is cut into three pieces. The second piece is 3 in. longer than the first piece. The third piece is 4 in. longer than the second piece. How long is each piece?
Found 3 solutions by solver91311, KnightOwlTutor, jojo14344:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The first piece is x inches long. The second piece is 3 inches longer than that, or x%2B3. The third piece is 4 inches longer than the second, so x%2B3%2B4=x%2B7. The length of the three pieces together is x%2B%28x%2B3%29%2B%28x%2B7%29=64.

Combine terms and solve: 3x%2B10=64

I'll leave it to you to finish.

Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
Piece 1=X
Piece 2=X+3
Piece 3=X+3+4
X+X+3+X+3+4=64
Combine like terms
3X+10=64
Subtract 10 from both sides
3X=54
Divide both sides by 3
X=18
Therefore Piece 1=18in
Piece 2=21in
Piece 3=25in
To confirm add the values of all three pieces
18+21+25=64

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

C%5B1%5D=C%5B1%5D
C%5B2%5D=C%5B1%5D%2B3, 3inches longer than Cut%5B1%5D
C%5B3%5D=C%5B1%5D%2B3%2B4, 4 inches longer than Cut%5B2%5D
Then:
C%5B1%5D%2BC%5B2%5D%2BC%5B3%5D=64in ----------------> working eqn
C%5B1%5D%2BC%5B1%5D%2B3%2BC%5B1%5D%2B3%2B4=64
3C%5B1%5D=64-3-3-4=54
cross%283%29C%5B1%5D%2Fcross%283%29=cross%2854%2918%2Fcross%283%29
C%5B1%5D=18in
C%5B2%5D=18%2B3=21in
C%5B3%5D=18%2B3%2B4=25in
Check go back working eqn:
18%2B21%2B25=64
64=64
Thank you,
Jojo