Posted by **bandit** on Thursday, August 6, 2009 at 10:26pm.

i have a piece of wood 72 inches long i cut it into 3 peices. the 2nd peice is 6 inches longer than the 1st the third id 6 inches longer than the 2nd. write and equation and solve??

- algebra 2 -
**MathMate**, Thursday, August 6, 2009 at 10:31pm
First you define the variable,

let x be the length of the first piece in inches.

Then make an equation using the variable to represent the given relations:

x + (x+6) + (x+6)+6 = 72

Collect like terms:

3x + 18 = 72

Solve for x:

3x = 72 - 18 = 54

x = 18

Finally, verify the answer using the given relations.

First piece = 18 inches

second piece = 24 inches

third piece = 30 inches

Total = 18+24+30 = 72 inches

The solution is correct.

- algebra 2 -
**bandit**, Thursday, August 6, 2009 at 11:19pm
thank you

## Answer this Question

## Related Questions

- Math word problem - I know the answer, but is there a formula to show work? Amy ...
- Algebra - Jake has a 3 foot long peice of wood that he wants to make into a ...
- geometry - how many inches long is the radius of the largest circle that can fit...
- Math - A 3-foot piece of wood is cut into two equal sections. How long is each ...
- Math - A piece of fabric is 52 inches long. You cut the fabric into two pieces. ...
- Algebra - a 260 m wire is cut into 3 pieces. The second is 4 times longer than ...
- MATH - jESS WOULD LIKE TO CUT A BOARD THAT WAS 50 INCHES LONG INTO 2 PIECES ONE ...
- Algebra - A rectangular piece of cardboard is 15 inches longer than it is wide. ...
- math - A pipe is 42 inches long. It is to be cut into three pieces such that the...
- MATH - Li-Hua wants to create a triangular fame. She has two pieces of wood, ...

More Related Questions