SOLUTION:
89 inch length of ribbon is to be cut into three pieces. The longest piece is to be 36 inches longer than the shortest​ piece, and the third piece is to be half the leng
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Question 1092193:
89 inch length of ribbon is to be cut into three pieces. The longest piece is to be 36 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.
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
89 inch length of ribbon is to be cut into three pieces. The longest piece is to be 36 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.
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S = shortest piece
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longest piece = S + 36
3rd piece = (S + 36)/2
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S + S=36 + (S+36)/2 = 89
Solve for S
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What's the big deal?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
I would take a good look at how the given information is presented before I decide how to define my variables. Since the problem says the third piece is half the length of the longest piece, I would let my x be the length of the third piece, so that the length of the longest piece is 2x. I could of course choose a different way to define my variable; however, even I make more careless mistakes when working with fractions than when working with whole numbers, so I try to avoid setting up the problem in a way that involves fractions. So
let x = length of third piece (inches)
then 2x = length of first piece
and then 2x-36 = length of the shortest piece
The total length of the three pieces is 89 inches, so
The lengths of the three pieces are
x = 25
2x = 50
2x-36 = 14
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