SOLUTION: A 10 ft board is to be cut into two pieces so that the longer piece is 4 times shourter. Find the length of each piece.
Algebra.Com
Question 101365: A 10 ft board is to be cut into two pieces so that the longer piece is 4 times shourter. Find the length of each piece.
Answer by doukungfoo(195) (Show Source): You can put this solution on YOUR website!
Lets set the shorter piece equal to x
shorter = x
Now define the longer piece in terms of x
Given: longer piece is 4 times the shorter
longer = 4x
Ok we are told these two pieces were cut from a 10 ft board so we can write an equation to solve for x
short piece + long piece = 10 ft
x + 4x = 10
5x = 10
x = 2
Answer: short piece is 2 ft
Now use this to find the long piece
longer = 4x
4*2=8
Answer: long piece is 8 ft
Check answers:
short piece + long piece = 10 ft
2 + 8 = 10
RELATED QUESTIONS
Please help: A 45-inch board is to be cut into two pieces so that the longer piece is 4... (answered by tommyt3rd)
Yuri has a board that is 98 in. long. He wishes to cut the board into two pieces so... (answered by josmiceli,solver91311)
A 14-foot board is cut into two pieces. Twice the length of the shorter piece is 5 ft... (answered by checkley77)
A 40-foot board is cut into two pieces so that the second piece is 4 feet longer than 5... (answered by addingup)
yuri has a board that is 98 inches long. he wishes to cut the board into two pieces so... (answered by stanbon)
YURI HAS A BOARD THAT IS 98 INCHES LONG. HE WISHES TO CUT THE BOARD INTO TWO PIECES SO... (answered by tutorcecilia)
Yuri has a board that is 98 in. long. He wishes to cut the board into two
pieces so that (answered by joyofmath)
Yuri has a board that is 98 in long. He wishes to cut the board into two pieces so that... (answered by bucky)
Yuri has a board that is 98 inches long. He wishes to cut the board into two pieces so... (answered by checkley71)