SOLUTION: a 60 foot long pipe is cut into 3 pieces. the first piece is twice as long as the second piece. the third piece is three times as long as the second pipe. what is the length of the

Question 454669: a 60 foot long pipe is cut into 3 pieces. the first piece is twice as long as the second piece. the third piece is three times as long as the second pipe. what is the length of the longest pipe?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
60 foot long pipe is cut into 3 pieces. the first piece is twice as long as the second piece.
the third piece is three times as long as the second pipe.
what is the length of the longest pipe?
:
Let x = length of the 2nd piece
:
Write an equation for each statement:
"the first piece is twice as long as the second piece.
2x = length of the first piece
:
"the third piece is three times as long as the second pipe."
3x = length of the 3rd piece
:
The 3 pieces add up to 60, so we have
1st + 2nd + 3rd = 60 ft
2x + x + 3x = 60
6x = 60
x =
x = 10' is the 2nd piece
then
3(10) = 30' the longest piece which is the 3rd piece
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