Final answer:
Tommy can stay a maximum of 8 nights on vacation.
Step-by-step explanation:
To find out how many nights Tommy can stay on vacation, we need to subtract the cost of plane tickets and meal packages from his budget and then divide the remaining amount by the cost of one night at the hotel.
The amount he spent on plane tickets and meal packages is $730. So, the remaining amount after subtracting this from his budget of $1500 is $1500 - $730 = $770. The cost of one night at the hotel is $94. To find out how many nights Tommy can stay, we divide the remaining amount by the cost per night: $770 ÷ $94 ≈ 8.19. Since Tommy cannot stay a fraction of a night, the maximum number of nights he can stay on vacation is 8 nights.