Final answer:
The smaller bus has 20 seats. We determine this by setting up an equation to represent the scenario, whereby 2x combined with x+5 equals 65, then solving for x.
Step-by-step explanation:
The question asks us to find out how many seats are on the small bus given that a company uses two buses with differing capacities to transport workers and that the total number of workers transported is 65. Assuming one bus is smaller and has 'x' seats, the larger bus would then have 'x + 5' seats. The smaller bus makes two trips; therefore, it transports 2x workers. We set up an equation considering both buses: 2x + (x + 5) = 65.
To find the number of seats on the small bus, we simplify and solve the equation: 3x + 5 = 65, hence 3x = 60, which gives us x = 20. Therefore, the smaller van has 20 seats.