Alright, let's solve this problem step-by-step.
Step 1: Understanding the Problem
Ruth Ann needs to travel from her school to her home, but she will make a stop at the library on the way. We are given two pieces of information:
1. There are 5 different routes she can choose from to travel from her school to the library.
2. There are 6 different routes she can take from the library to her home.
Step 2: Determine the Total Number of Routes
We need to find the total number of different routes Ruth Ann can take from her school to her home, considering she must stop at the library.
To do this, we'll multiply the number of routes available from school to the library by the number of routes available from the library to her home.
[tex]\[
\text{Total routes} = (\text{Routes from school to library}) \times (\text{Routes from library to home})
\][/tex]
Step 3: Use the Given Values
Substitute the given values into the equation:
[tex]\[
\text{Total routes} = 5 \times 6
\][/tex]
Step 4: Calculate the Result
[tex]\[
\text{Total routes} = 30
\][/tex]
Conclusion
Therefore, the total number of routes from Ruth Ann's school to her home, with a stop at the library, is 30.
Thus, the correct answer is:
- 30
