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Suppose Ruth Ann has 5 routes she can choose from to get from school to the library, and 6 routes from the library to her home. How many routes are there from Ruth Ann's school to her home with a stop at the library?

A. 36
B. 25
C. 720
D. 30
E. 1

Sagot :

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