SOLUTION: YURI HAS A BOARD THAT IS 98 INCHES LONG. HE WISHES TO CUT THE BOARD INTO TWO PIECES SO THAT ONE PIECE WILL BE 10 INCHES LONGER THAN THE OTHER. WHAT SHOULD THE LENGTH OF EACH PIECE

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: YURI HAS A BOARD THAT IS 98 INCHES LONG. HE WISHES TO CUT THE BOARD INTO TWO PIECES SO THAT ONE PIECE WILL BE 10 INCHES LONGER THAN THE OTHER. WHAT SHOULD THE LENGTH OF EACH PIECE       Log On


   

Question 58103: YURI HAS A BOARD THAT IS 98 INCHES LONG. HE WISHES TO CUT THE BOARD INTO TWO PIECES SO THAT ONE PIECE WILL BE 10 INCHES LONGER THAN THE OTHER. WHAT SHOULD THE LENGTH OF EACH PIECE BE?
THANK YOU!
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!

Total length = 98
Piece #1 + Pierce #2 = 98 inches
Piece #1=x
Pierce #2=x+10
x+(x+10)=98
x+x+10=98
2x+10=98
2x+10-10=98-10
2x=88
x=44 (Piece #1)
Piece #2 = 44+10=54
.
Check by plugging all values back into the original equation
44+54=98
98=98 [Checks out]