Problem

A 20 -foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find the lengths of both piece
What is the length of the shorter piece?
5 feet
What is the length of the longer piece?

Answer

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Answer

Final Answer: The length of the shorter piece is 5 feet and the length of the longer piece is 15 feet.

Steps

Step 1 ：Let's denote the length of the shorter piece as x. According to the problem, the longer piece is 5 feet longer than twice the shorter piece, so it can be represented as 2x+5. The total length of the string is 20 feet, so we can set up the equation x+2x+5=20 to find the value of x.

Step 2 ：The solution to the equation is x=5, which means the length of the shorter piece is 5 feet.

Step 3 ：Now, we can substitute x=5 into the expression for the longer piece to find its length.

Step 4 ：Final Answer: The length of the shorter piece is 5 feet and the length of the longer piece is 15 feet.

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