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A 12 foot piece of sting is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.The shorter piece is how many feet long?The longer piece is how many feet long?

Sagot :

Let x = the length of the shorter piece of string.

The longer piece is 3 feet longer than twice the shorter piece.

2x = Twice the shorter piece

2x + 3 = Three more than twice the shorter piece

Thus:

2x + 3 = Length of the longer piece of string

The total length is the sum of both pieces:

x + 2x + 3 = 12

Subtracting 3 on both sides of the equation:

x + 2x = 9

Simplifying:

3x = 9

Dividing by 3:

x = 9/3 = 3

2x + 3 = 6 + 3 = 9

The shorter piece is 3 feet long

The longer piece is 9 feet long

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