If a 28 ft rope is cut into two sections with one section 3 times as long as the other section, how long is the shorter piece?

Let's start out with what we know:

We have two sections: long (L) and short (S).

Together, those sections must equal 28ft so the equation would look like this:

L + S = 28ft

Now, we also know that the longer section is three times as long as the shorter one. That can be written in an equation as well:

L = 3S

Since we know L = 3S, we can substitute that into the first equation like this:

L + S = 28ft

(3S) + S = 28ft

4S = 28ft

4S/4 = 28ft/4

S = 7ft

So the shorter portion is 7ft long