SOLUTION: A pipe that is 325 ft. long is cut into three pieces. The first piece is one foot shorter that twice the second, and the third piece is four times as long as the other two pieces

Algebra.Com
Question 162821: A pipe that is 325 ft. long is cut into three pieces. The first piece is one foot shorter that twice the second, and the third piece is four times as long as the other two pieces combined. How long are each of the pieces?
What I did:
x-1+x+4(x-1+x)=325
2x-1+4x-4+4x=325
10x-5=325
+5 +5
10x=330
/10 /10
x=33
1st piece: 32
2nd piece: 33
3rd piece: 263
Total: 328 off by 3
What did I do wrong?

Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!

Well, i think there was a misrepresentation you did on the pipes. Let's see oks,
, 1 foot shorter than twice the 2nd
, unknown
, 4 times 1st & 2nd Pipe combined

Putting into eqn,

, combine similar terms

, divide 15 to isolate "x"
----------------------------------> 2nd Pipe
-----------------------> 1st Pipe
--------------------> 3rd Pipe
Check,


thank you,
Jojo

RELATED QUESTIONS

A pipe that is 325 ft. long is cut into three pieces. The first piece is one foot shorter (answered by xcentaur)
A seventy foot long pipe is cut into three unequal pieces the second one is twice as long (answered by Cromlix)
A 96 inch pipe is cut into 3 pieces. The second piece is seven inches shorter than the... (answered by checkley77)
A 9-foot board is cut into three pieces. The second piece is twice as long as the first... (answered by jorel1380)
A board, 44 cm long is cut into three pieces such that the second piece is twice as long... (answered by algebrahouse.com)
A board, 39 cm long is cut into three pieces such that the second piece is twice as long... (answered by addingup)
A board, 37 cm long is cut into three pieces such that the second piece is twice as long... (answered by josgarithmetic)
A seventy foot long pipe is cut into three unequal pieces.The second piece is twice as... (answered by rfer)
an 18 ft pipe is to be cut into 3 pieces such that the second piece is 1 foot longer than (answered by jessica43)