SOLUTION: An 81 inches length of ribbon is to be cut into three pieces. The longest piece is to be 34 inches longer than the shortest piece, and the third piece is to be half the length of t
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Question 771029: An 81 inches length of ribbon is to be cut into three pieces. The longest piece is to be 34 inches longer than the shortest piece, and the third piece is to be half the length of the longest piece. Find the length of each piece of ribbon.
Answer by Jc0110(165) (Show Source): You can put this solution on YOUR website!
Let the first piece (longest) of ribbon to be x, the second piece (shortest) of ribbon to be y while the third piece of ribbon to be z.
--> Equation 1
--> Equation 2 ... Substitute into Equation 3
--> Equation 3
Substitute and into Equation 1.
Substitute into Equation 2.
Substitute into Equation 3.
Therefore, the longest ribbon, x = 46 inches, the shortest ribbon, y = 12 inches and the third piece of ribbon, z = 23 inches.
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