SOLUTION: One stick is 9cm longer than another. 2/5 of the longer stick is equal to 1/2 of the shorter stick.Find the length of longer stick

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Question 1021452: One stick is 9cm longer than another. 2/5 of the longer stick is equal to 1/2 of the shorter stick.Find the length of longer stick
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S=shorter stick; L=longer stick=S+9cm
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%282%2F5%29L=%281%2F2%29S
%282%2F5%29%28S%2B9%29=%281%2F2%29S
%282%2F5%29S%2B%2818%2F5%29=%281%2F2%29S
%284%2F10%29S=%285%2F10%29S-%2836%2F10%29
-%281%2F10%29S=-%2836%2F10%29
S=36
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The shorter stick is 36 cm
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L=S+9cm=36cm+9cm=45cm
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ANSWER: The longer stick is 45 centimeters.
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CHECK
%282%2F5%29L=%281%2F2%29S
%282%2F5%29%2845cm%29=%281%2F2%29%2836cm%29
18cm=18cm