SOLUTION: a 30 ft. board is cut into two parts such that the shorter piece is 3 ft. more than one-half of the longer piece. how long is each piece?

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Question 491912: a 30 ft. board is cut into two parts such that the shorter piece is 3 ft. more than one-half of the longer piece. how long is each piece?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a 30 ft. board is cut into two parts such that the shorter piece is 3 ft. more than one-half of the longer piece. how long is each piece
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let x=longer piece
x/2+3=shorter piece
x+x/2+3=30
2x+x+6=60
3x=54
x=18
18/2+3=12
ans:
longer piece=18 ft
shorter piece=12 ft