Question 200900This question is from textbook elementary algebra
: Suppose that a board 20 feet long is cut into two pieces. Four times the length of the shorter piece is 4 feet less than three times the length of the longer piece. Find the length of each piece.
This question is from textbook elementary algebra
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Let x=short length,,,,y= long length
.
(1) x + y = 20,,,,,y = 20 -x
(2) 4x = 3y-4
.
substitute (1) in (2)
.
4x = 3( 20-x) -4
4x = 60 -3x -4
7x =56
x=8
.
substitute in (1)
.
y= 20 -8
y=12
.
check (1) 8+12 =20,,,,ok
(2) 4(8) = 3( 12) -4
32 =32,,,,,,,,,,,,,,,,,,,,,,ok
|
|
|
