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Concept explainers
Translate given statement into an equation and find the length of each pieces of rope.
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Answer to Problem 3ST
Required equation
The lengths of the piece of rope are 3 ft and 8 ft.
Explanation of Solution
Given information:
Total length of a rope = 11 ft.
One piece is 2 ft longer than twice the other piece.
Calculation:
Let, the length of smaller piece of rope =
Twice of x = 2x.
Then the length of larger piece of rope (2 ft more than twice of x ) =
Total length of rope = 11 ft.
Sum of smaller piece and larger piece = total length of rope.
Combine like terms
Subtract 2 on both sides
Divide by 3 on both sides
Therefore, the length of smaller piece of rope= 3 ft.
And the length of larger piece of rope =
Chapter 1 Solutions
Algebra: Structure And Method, Book 1
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