To determine how many steps Judi can make with 6 yards of rope, let's break down the problem step-by-step:
1. Understand the Problem:
- Judi has a total of 6 yards of rope.
- Each step of her ladder requires [tex]\(\frac{1}{2}\)[/tex] yard of rope.
2. Set up the Relationship:
- We need to find out how many [tex]\(\frac{1}{2}\)[/tex] yard steps can fit into 6 yards.
3. Formulate the Equation:
- Let [tex]\( \text{number of steps} = n \)[/tex].
- Each step uses [tex]\(\frac{1}{2}\)[/tex] yard of rope.
- The total amount of rope used for [tex]\( n \)[/tex] steps is [tex]\( \frac{1}{2} \times n \)[/tex].
- Since Judi has 6 yards of rope, we set up the equation:
[tex]\[
\frac{1}{2} \times n = 6
\][/tex]
4. Solve the Equation:
- To find [tex]\( n \)[/tex], we need to isolate [tex]\( n \)[/tex] on one side of the equation.
- Multiply both sides of the equation by 2 to get rid of the fraction:
[tex]\[
n = 6 \times 2
\][/tex]
5. Calculate the Result:
- Perform the multiplication:
[tex]\[
n = 12
\][/tex]
So, Judi can make 12 steps with 6 yards of rope.
