SOLUTION: A wire is 200 inches long is cut into three pieces, two of equal length, each twice as long as the third. How long is the third piece? please explain in steps , I don't understand

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Question 883928: A wire is 200 inches long is cut into three pieces, two of equal length, each twice as long as the third. How long is the third piece?
please explain in steps , I don't understand..

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A wire is 200 inches long is cut into three pieces, two of equal length, each twice as long as the third. How long is the third piece?
please explain in steps , I don't understand..
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Let the length of the 3rd piece be "x"
Then each of the other two pieces is "2x"
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Equation:
x + 2x + 2x = 200 inches
5x = 200 inches
x = 40 inches (shortest piece)
2x = 80 inches (each of the equal pieces)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the length of the
3rd piece of wire in inches
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The 1st piece is +2x+ inches long
The 2nd piece is also +2x+ inches long
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Now I can say:
+x+%2B+2x+%2B+2x+=+200+
+5x+=+200+
+x+=+40+
and
+2x+=+80+
The 3rd piece is 40 inches long
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check answer:
+x+%2B+2x+%2B+2x+=+200+
+40+%2B+80+%2B+80+=+200+
+200+=+200+
OK