Final answer:
The boat will give 22 rides with 883 people on the first ride.
Step-by-step explanation:
To find the number of rides and the number of people on the first ride, we need to divide the total number of people by the maximum capacity of the boat. The boat can carry 582 passengers, so we divide 13,105 by 582. The quotient is 22, which means there will be 22 rides. To find the number of people on the first ride, we subtract the maximum capacity of the boat multiplied by the number of rides minus 1 from the total number of people. This gives us 13,105 - (582 x 21) = 13,105 - 12,222 = 883. Therefore, there are 22 rides and 883 people on the first ride.