Algebra 1 mauro has 140 ft of rope. he will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. what will the length of the longer piece be?

105

Work Shown:

x = length of shorter piece, 3x = length of longer piece

x+3x = 140

4x = 140

4x/4 = 140/4

x = 35

3*x = 3*35 = 105

So the longer piece is 105 feet long (shorter piece is 35 ft).

Note how 35+105 = 140 which helps confirm the answer.

step-by-step explanation:

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