Math word problem
posted by Lauren on .
I know the answer, but is there a formula to show work?
Amy had a piece of wire 96 inches long. She cut the wire into 3 pieces. The second piece was 6 inches longer than the first piece. The third piece is 9 inches longer than the second. What was the length of each piece of wire?
The answers I got were 25,31,40. But it was from trial and error from 3/96=32

first piece : x
second piece : x+6
third piece : (x+6)+9 = x+15
x + x+6 + x+15 = 96
3x = 75
x = 25 
F = length of FIRST piece.
S = length of SECOND piece.
T = length of THIRD piece.
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F + S + T = 96
In addition we know,
S = F+6
T = S+9 which = F+6 + 9.
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Substitute into F + S + T = 96
for F.
F + F+6 + F + 6 + 9.
Solve for F, then S, then T.
The answers are the same as yours by trial and error. 
Thank You so much. It looks so simple, and makes sense the way you wrote it out!

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