# Agebra

posted by .

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 -

x feet = short piece.
12-x = long piece.
3x+8 = 12-x
Solve for x.

• Agebra -

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

## Similar Questions

1. ### Algebra

Here's another problem I'm having a little trouble with: A piece of string is 40 cm long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized piece, and the shortest piece is 23 cm shorter than the …
2. ### algebra

a piece of wire that is 58cm long is cut into three pieces. the longest piece is 6cm shorter than the sum of the lengths of the other two pieces. five times the lengths of the shortest piece is 10cm less than the sum of the lengths …
3. ### Math

A 51 meter rope is cut into 2 pieces so that one piece is 6 meters longer than four times the shorter piece. Find the lengths of both pieces.
4. ### algebra

A 40 inch board is cut into two pieces so that the shorter piece is two-thirds of the length of the longer piece. What are the lengths of the two cut pieces?
5. ### math

a 17 foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.
6. ### math

Sarah has a piece of rope that is 10 ft long. She wants to cut it into 2 pieces so that the longer piece is 2 ft less than 3 times the shorter piece. How many ft long will the shorter piece be?
7. ### Math

A 12-ft. board is cut into 2 pieces so that one piece is 4 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces 12ft-x=3x+4 12ft- x-3x=4ft 12ft-4x =4ft -4x=-8ft x=2ft
8. ### Math

A 12-ft. board is cut into 2 pieces so that one piece is 4 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.
9. ### Math

14 cm piece of tape is cut into two pieces. The shorter piece is 2/5 as long as the longer one. which is the length of the shorter piece.
10. ### Math

A wire 32 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece. What is the length of the shorter piece?

More Similar Questions