SOLUTION: a rope that is 33 feet long is cut into three pieces one piece is twice as long as the shortest piece the third piece is 5 feet longer than the shortest piece find the length of ea

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Question 1069852: a rope that is 33 feet long is cut into three pieces one piece is twice as long as the shortest piece the third piece is 5 feet longer than the shortest piece find the length of each piece
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ ft = the length of the shortest piece
One of the 2 remaining pieces is +2x+ ft
The 3rd piece is +x+%2B+5+ ft
---------------------------------------------
given:
+x+%2B+2x+%2B+x+%2B+5+=+33+
+4x+%2B+5+=+33+
+4x+=+28+
+x+=+7+
and
+2x+=+14+
and
+x+%2B+5+=+12+
--------------------
The lengths are:
7 ft
14 ft
12 ft
--------------------
check:
+7+%2B+14+%2B+12+=+33+
+33+=+33+
OK