# A 17-foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find the lengths of both pieces. Who is the length of the shorter piece?

##### 1 Answer

Oct 26, 2016

13 and 4

#### Explanation:

In order to find out the lengths of these two pieces of string, we must set up an algebraic equation.

Let's set the smaller length equal to

We know that the bigger length is equal to

We also know that both of these lengths add up to 17, so we can now set up an equation: