SOLUTION: A 15-m board is cut into two pieces. One piece is half the length of the other. Find the length of the longer, piece.

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Question 446184: A 15-m board is cut into two pieces. One piece is half the length of the other. Find the length of the longer, piece.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the length of the longer piece = a
The length of the shorter piece = +%281%2F2%29%2Aa+
given:
+a+%2B+%281%2F2%29%2Aa+=+15+
Multiply both sides by 2
+2a+%2B+a+=+30+
+3a+=+30+
+a+=+10+
%281%2F2%29%2Aa+=+5+
The longer piece is 10 m