SOLUTION: A board 65 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.
Algebra.Com
Question 700592: A board 65 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A board 65 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.
------
Equations:
x + y = 65 feet
x = (2/3)y
=====
Substitute and solve for "y":
(2/3)y + y = 65
(5/3)y = 65
(1/3)y = 13
y = 39 feet
=====
Solve for "x":
x = (2/3)y
x = (2/3)39
x = 26 feet
==================
Cheers,
Stan H.
================
x =
RELATED QUESTIONS
A board 65 feet long is cut into two pieces such that the length of one piece is... (answered by unlockmath)
A board 65 feet long is cut into two pieces such that the length of one piece is... (answered by lynnlo)
A board 170 feet long is cut into two pieces such that the length of one piece is... (answered by rfer)
A board 45 feet long is cut into two pieces such that the length of one piece is... (answered by Flannery)
A board 75 feet long is cut into two pieces such that the length of one piece is... (answered by josgarithmetic,MathTherapy)
A board 20 feet long is cut into two pieces such that the lenght of one piece is... (answered by checkley77)
Use an algebraic approach to solve the problem.
A board 5 feet long is cut into two... (answered by rfer)
A board is 24 feet long and is cut into two pieces. If one piece is twice the length of... (answered by checkley77)
Hello, so my math problem is this: A board 55 feet long is cut into two pieces such that... (answered by MathTherapy)