Final answer:
To transport 293 basketball fans with each bus holding 37 fans, we find that 7 buses are required for 259 fans, with an additional bus needed for the remaining 34 fans, totaling 8 buses.
Step-by-step explanation:
To determine how many buses are needed to transport 293 basketball fans when each bus holds 37 fans, we must divide the total number of fans by the number of fans each bus can hold. This division can be broken down into the following steps:
- Divide 293 by 37.
- Find the quotient, which represents the full buses needed.
- Check if there's a remainder, which would indicate the need for one additional bus.
Step one: 293 ÷ 37 = 7 remainder 34
Since we have a remainder of 34, step two tells us we have fully seated 7 buses, but step three indicates that we still need seating for 34 fans. Therefore, we require one additional bus.
In conclusion, 8 buses are necessary to transport 293 fans, 7 buses to seat 259 fans (7 × 37), and 1 bus to transport the remaining 34 fans.