Posted by ckim on Friday, October 22, 2010 at 3:48am.
represent the unknowns using variables:
let x = shortest piece
let y = 2nd longest piece
let (x+y) - 6 = longest piece *according to the 2nd statement*
set up equations:
(1) x + y + (x+y) - 6 = 58
*total length must be 58*
(2) 5x = y + (x+y) - 6 - 10
*according to 3rd statement*
these equations are simplified to:
(1) y = 32 - x
(2) y = 2x + 8
we then substitute the first equation to the second, o that everything will be in terms of x,, or you can do the other way around:
32 - x = 2x + 8
-3x = -24
x = 8 cm [length of shortest]
*using the simplifies equation (1), we get y:
y = 32-x = 24 cm [length of 2nd longest]
(x+y)-6 = 26 cm [length of longest]
**to check, see if their sum is equal to 58 cm,,
so there,, :)
Algebra - Here's another problem I'm having a little trouble with: A ...
Algebra - A rope 116 inches is cut into three pieces.The middle-sized piece is ...
algebra - Three pieces of wood are needed for project. They are to be cut from a...
Algebra - A ribbon 106 inches long is cut into three pieces. The middle-sized ...
Math algebra - A 120- foot long rope is cut into three pieces the first piece of...
Agebra - A 12ft. board is cut into two pieces so that one piece is 8 ft. longer ...
Math - Three pieces of wood are needed for a project. They are to be cut from a ...
math - Three pieces of wood are needed for a project. They are to be cut from a ...
math - a 17 foot piece of string is cut into two pieces so that the longer piece...
math - An electrician cuts a 26ft piece of wire into two pieces. One piece is ...
For Further Reading