A rope is 60 in. in length and must be cut into two pieces. If one piece must be five times as long as the other, find the length of each piece.

Is one part of the rope 5in?

How did you get 5 inches?

Let x = the shorter piece.

x + 5x = 60
6x = 60
x = 10

To solve this problem, we can let the length of one part of the rope be x inches. Since the other part must be five times as long, the length of the other part can be expressed as 5x inches.

According to the problem, the total length of the rope is 60 inches. So we can set up the equation:

x + 5x = 60

Now, combine the like terms:

6x = 60

To find the value of x, divide both sides of the equation by 6:

x = 10

Therefore, the length of one part of the rope is 10 inches. Since the other part must be five times as long, the length of the other part is:

5x = 5(10) = 50 inches.

So, one part of the rope is 10 inches, not 5 inches as you suggested.