### Home > MC1 > Chapter 4 > Lesson 4.1.4 > Problem4-46

4-46.

Kenali wants to cut a piece of rope into three equal pieces, and she wants to have a $10$-foot piece remaining. Help her figure out how long to make each of the three equal pieces for each total length of rope given below.

1. A $25$-foot piece of rope (find $n$).

First, subtract $10$ from $25$ to find the amount left for the three equal parts.

$25 \text{ feet} − 10 \text{ feet} = 15 \text{ feet}$

Next, determine how long each of the three pieces will be. If three pieces must add together to be $15$ feet, how long are they?

$\frac{15}{3}=5\text{ feet}$

$n = 5$ feet

2. A $310$-foot piece (find $x$).

The process for solving this problem is the same as in part (a).
Remember to subtract $10$ feet from the total before dividing it into three parts.

$x = 100$ feet

3. A $13$-foot piece (find $j$).

Follow the steps outlined in part (a).