Answer:
In 345 minutes, he can ride 7 roller coasters and watch 4 shows.
Step-by-step explanation:
Caleb is figuring out how many roller coasters he could ride and how many shows he can watch in 345 minutes.
Let x represent the number of shows he watches. That means x + 3 represents the number of roller coasters, because he wants to ride 3 more roller coasters than the number of shows he watches.
Each roller coaster takes 5 minutes to ride. He estimates that the average wait time for a roller coaster is 30 minutes. Therefore, the number of minutes it would take can be represented as (x + 3)(5 + 30).
Each show takes 25 minutes. Therefore, the number of minutes it would take can be represented as 25x.
Add the number of minutes it would take to ride roller coasters and watch shows. Then, solve for x.
Therefore, Caleb can watch 4 shows. He wants to ride 3 more roller coasters than the number of shows he watches, so he wants to ride 7 roller coasters.