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?

Please help meh

The answer is 105 ft. Hope this helps gl out there!!

To find the length of the longer piece, we can set up an equation based on the given information.

Let's say the length of the shorter piece is x feet. According to the problem, the length of the longer piece is 3 times the length of the shorter piece.

Therefore, the length of the longer piece can be represented as 3x feet.

Since Mauro has a total of 140 feet of rope, we can set up the following equation:

x + 3x = 140

Simplifying the equation: 4x = 140

To find the value of x, we divide both sides of the equation by 4:

x = 140 / 4

x = 35

Now that we know the length of the shorter piece (x), we can find the length of the longer piece by substituting the value of x back into the equation:

Length of longer piece = 3x
Length of longer piece = 3 * 35
Length of longer piece = 105

Therefore, the length of the longer piece will be 105 feet.