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Final answer:
To find the total routes, multiply the routes from school to the library (5) by the routes from the library to home (6) to get 30 possible routes in total.
Explanation:
The number of routes from Ruth Ann's school to her home with a stop at the library can be calculated by multiplying the number of routes from school to the library and from the library to home.
To find the total routes, multiply the routes from school to the library (5) by the routes from the library to home (6): 5 routes x 6 routes = 30 possible routes in total.
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