Alright, let's solve this problem step-by-step:
1. Number of Children on the Bus:
There are 5 children on the bus.
2. Total Money Collected by the Bus Driver:
The total money received for all the tickets is [tex]$250.
3. Ticket Price for Children:
Each child’s ticket costs $[/tex]22.
4. Ticket Price for Adults:
Each adult’s ticket costs [tex]$280.
5. Calculate Total Revenue from Children's Tickets:
- Since there are 5 children and each pays $[/tex]22 per ticket:
[tex]\[
\text{Total revenue from children's tickets} = 5 \times 22 = 110
\][/tex]
6. Calculate Revenue from Adult Tickets:
- The total money collected is [tex]$250. We subtract the revenue obtained from children's tickets to get the revenue from adult tickets:
\[
\text{Revenue from adult tickets} = 250 - 110 = 140
\]
7. Calculate the Number of Adults:
- Since each adult ticket costs $[/tex]280, we divide the revenue from adult tickets by the price of one adult ticket to find the number of adults:
[tex]\[
\text{Number of adults} = \frac{140}{280} = 0.5
\][/tex]
Thus, there are [tex]\(0.5\)[/tex] adults on the bus.
Now, it's clearly evident that having [tex]\(0.5\)[/tex] adults does not make logical sense. This suggests there might be a mistake in the problem formulation or the given conditions, as typically you cannot have half an adult as a passenger. There might be a discrepancy in the data provided or a special condition that should be considered. Based on purely numerical calculation though, the answer remains [tex]\(0.5\)[/tex].
