SOLUTION: A piece of fishing line is 100 m long and was cut into 2 pieces so that the longest piece was 40 times the length of the shorter piece. How long are the two pieces?

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Question 176406: A piece of fishing line is 100 m long and was cut into 2 pieces so that the longest piece was 40 times the length of the shorter piece. How long are the two pieces?
Found 2 solutions by Mathtut, stanbon:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so we have two lengths lets call x the short piece and y the long piece
:
x+y=100.....eq 1
y=40x.......eq 2
:
take y's value from eq 2 and plug it into eq 1
:
x+40x=100
:
41x=100
:
highlight%28x=100%2F41%29m short piece
:
highlight%28y=40x=40%28100%2F41%29=4000%2F41%29m long piece

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A piece of fishing line is 100 m long and was cut into 2 pieces so that the longest piece was 40 times the length of the shorter piece. How long are the two pieces?
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Let the shorter piece be of length "x" meters.
The longer piece is 40x meters.
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Equation:
x + 40x = 100
41x = 100
x = 100/41 = 2.439 meters (shorter piece)
40x = 97.561 (longer piece)
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Cheers,
Stan H.