Certainly! Let's break down the solution step-by-step to find out how many seats were left vacant in all buses:
1. Determine the seating capacity of each bus:
Each bus has a seating capacity of 52 seats.
2. Determine the number of buses:
There are 4 buses in total.
3. Calculate the total seating capacity for all buses:
Since each bus can hold 52 passengers and there are 4 buses, the total seating capacity is:
[tex]\[
\text{Total seating capacity} = 52 \, \text{seats/bus} \times 4 \, \text{buses} = 208 \, \text{seats}
\][/tex]
4. Determine the number of passengers in each bus:
- Bus A has 42 passengers.
- Bus B has 48 passengers.
- Bus C has 32 passengers.
- Bus D has 50 passengers.
5. Calculate the total number of passengers in all buses:
To find the total number of passengers, add the passengers from each bus together:
[tex]\[
\text{Total passengers} = 42 + 48 + 32 + 50 = 172 \, \text{passengers}
\][/tex]
6. Calculate the number of vacant seats:
To find the number of vacant seats, subtract the total number of passengers from the total seating capacity:
[tex]\[
\text{Vacant seats} = \text{Total seating capacity} - \text{Total passengers}
\][/tex]
[tex]\[
\text{Vacant seats} = 208 - 172 = 36 \, \text{vacant seats}
\][/tex]
Therefore, there were 36 seats left vacant in all the buses.
