SOLUTION: Please help me answer this question: A wire is 224cm long, it has been cut in 3 pieces, the 1st piece is twice as long as the 2nd piece, the 3rd piece is 1/2 as long as the 2nd pi

Question 542471: Please help me answer this question: A wire is 224cm long, it has been cut in 3 pieces, the 1st piece is twice as long as the 2nd piece, the 3rd piece is 1/2 as long as the 2nd piece. How long is the second piece. I need the equation for this word problem and am unable to attain it. Thank you for your help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A wire is 224cm long, it has been cut in 3 pieces, the 1st piece is twice as long as the 2nd piece, the 3rd piece is 1/2 as long as the 2nd piece.
How long is the second piece.
:
Let the three pieces be a, b, c
:
Write an equation for each statement:
:
"A wire is 224cm long, it has been cut in 3 pieces,"
a + b + c = 224
:
"the 1st piece is twice as long as the 2nd piece,"
a = 2b
:
"the 3rd piece is 1/2 as long as the 2nd piece. "
c = .5b
:
In the 1st equation, replace a with 2b, replace c with .5b
2b + b + .5b = 224
3.5b = 224
b =
b = 64 cm is the 2nd piece
:
Use the 2nd and 3rd equations to find a and c, check that your solutions add up to 224

RELATED QUESTIONS
a wire is 224cm long is cut into three pieces the first is twice as long as the second... (answered by robertb,mananth)

Question A twenty-foot piece of wire is cut into three pieces. The first piece is twice... (answered by jim_thompson5910)

please help me with this word problem! a 309 inch wire is cut into three pieces. the... (answered by stanbon,mananth,DrBeeee)

A piece of wire is 90 cm long. It has to be cut into two piece such that one piece is 2/3 (answered by josgarithmetic)

A wire is 200 inches long is cut into three pieces, two of equal length, each twice as... (answered by stanbon,josmiceli)

Hello tutor, may you please help me on this problem? A piece of wire 10m long is to be (answered by Alan3354)

PLEASE HELP ME SOLVE THIS PROBLEM A 210 FT LONG ROPE IS CUT IN 3 PIECES, THE FIRST... (answered by dfrazzetto,mamiya)

Please help me answer this question. A wire 36 m long is cut into two pieces. Each... (answered by stanbon)

A 57-foot wire is cut into three pieces. The second piece if 7 feet longer than the first (answered by Boreal,stanbon)