Final answer:
The Smith family drove a total of 1086 miles for their entire trip, which includes the vacation and the return trip, as they drove 543 miles each way.
Step-by-step explanation:
The question is asking us to calculate the total miles the Smith family drove during their entire trip, which included a vacation and a return trip. They drove 256 miles on the first day and 287 miles on the second day. We are told that they drove the same number of total miles on their return trip.
First, we add the miles driven on the first two days to find the total miles for the trip one way:
- 256 miles (first day)
- + 287 miles (second day)
The total miles driven one way is 256 + 287 = 543 miles.
Since the return trip is the same number of total miles, we must multiply the one-way total by 2 to find the entire trip mileage:
543 miles (one way)
✕ 2 (for round trip) = 1086 miles (entire trip)
Therefore, the Smith family drove 1086 miles for their entire trip.