SOLUTION: A wire, 224 cm long, is cut into three pieces. The first is twice as long as the second. The third is one-half as long as the second. How long is the second piece?

Algebra.Com
Question 288819: A wire, 224 cm long, is cut into three pieces. The first is twice as long as the second. The third is one-half as long as the second. How long is the second piece?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A wire, 224 cm long, is cut into three pieces.
The first is twice as long as the second.
The third is one-half as long as the second. How long is the second piece?
--------------------------------
Let 2nd be "2x" cm.
Then 1st is "4x" cm.
And 3rd is "x" cm
------------------------
x + 2x + 4x = 224
7x = 224
x = 32 cm (3rd piece)
2x = 64 cm (2nd piece)
4x = 128 cm (1st piece)
==========================
Cheers,
Stan H.

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)
A 98 centimeter board is cut into three pieces. The first piece is twice as long as the... (answered by solver91311,macston)
A 57-foot wire is cut into three pieces. The second piece if 7 feet longer than the first (answered by Boreal,stanbon)
Question A twenty-foot piece of wire is cut into three pieces. The first piece is twice... (answered by jim_thompson5910)
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 board, 43 cm long is cut into three pieces such that the second piece is twice as long... (answered by 2897696)
A board, 39 cm long is cut into three pieces such that the second piece is twice as long... (answered by josgarithmetic,ikleyn,MathTherapy)