Posted by **Ursula** on Sunday, September 27, 2009 at 6:22pm.

A 12ft. board is cut into two pieces so that one piece is 8 ft. longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces

- Agebra -
**DrBob222**, Sunday, September 27, 2009 at 6:26pm
x feet = short piece.

12-x = long piece.

3x+8 = 12-x

Solve for x.

- Agebra -
**Ms. Sue**, Sunday, September 27, 2009 at 6:27pm
x + (8 + 3x) = 12

4x + 8 = 12

4x + 8 - 8 = 12 - 8

4x = 4

x = 1

One piece is 1 foot long

The other piece is 11 feet long

Does that make sense?

(3 * 1) + 8 = 11

## Answer This Question

## Related Questions

- Math - A 12-ft. board is cut into 2 pieces so that one piece is 4 feet longer ...
- Math - A 12-ft. board is cut into 2 pieces so that one piece is 4 feet longer ...
- math - a 17 foot piece of string is cut into two pieces so that the longer piece...
- math - Sarah has a piece of rope that is 10 ft long. She wants to cut it into 2 ...
- Math - 14 cm piece of tape is cut into two pieces. The shorter piece is 2/5 as ...
- Math - A 51 meter rope is cut into 2 pieces so that one piece is 6 meters longer...
- Algebra - A wire 20 cm long is cut into two pieces. The longer piece is 4 cm ...
- Math - A carpenter wants to cut an 18-foot board into two pieces so that one ...
- Algebra - A board 5 feet long is cut into two pieces such that the length of one...
- Algebra - Here's another problem I'm having a little trouble with: A piece of ...

More Related Questions