The problem asks how many passengers the airport shuttle bus will take on its last trip, given the following information:

• There are 248 people to be transported.
• The shuttle bus can take 25 passengers on each trip.

Step-by-Step Solution:

1. First, calculate how many complete trips the shuttle bus can take: $\frac{248}{25} = 9 \text{ trips with } 23 \text{ passengers left over}.$ This means that after 9 trips with 25 passengers each, a total of $9 \times 25 = 225$ passengers will have been transported.

2. Now subtract 225 from 248 to find how many passengers remain for the last trip: $248 - 225 = 23.$ Therefore, the shuttle bus will take 23 passengers on its last trip.

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Related Questions:

1. How many trips in total will the shuttle bus make?
2. What if the bus could take 30 passengers per trip? How would this change the solution?
3. If the bus made 10 trips, how many people would it have transported?
4. How many passengers would the bus take if there were 300 people to transport?
5. How many passengers would be left for the last trip if there were 275 people?

Tip: When solving problems involving division with remainders, always check how much is left after complete groups are formed.