SOLUTION: A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the len

Algebra ->  Equations -> SOLUTION: A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the len      Log On


   



Question 122894: A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three
1st_____________
2nd________________
3rd_____________
I greatly appreciate it if you could help me

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
x represents the length of the first
y represents the length of the second
z represents the length of the third
so x+y+z=48
the second piece is twice as long as the first then y=2x
the third piece in 3 times as long as the first then z=3x
then x+2x+3x=48 so 6x=48 so x=8
1st=x=8
2nd=y=16
3rd=z=24