Answer:
The last truck will have 10 cars and the total number of truckloads needed is 84
Step-by-step explanation:
Given: An auto transport truck accommodates 12 cars. A car dealer intends to import 1006 new cars in June and July.
To Determine: If every auto transport truck is filled on each delivery, except for the last one, how many complete truckloads will be necessary and how many cars will be in the final truck?
Solution:
Let the number of truckloads be denoted as x
Each truckload can carry 12 cars
Thus, x truckloads have the capacity for 12x cars
Since there are 1006 cars total
So, 12x = 1006


This leads to a total of 83 fully loaded truckloads,
for one truck can carry 12 cars
So, 83 truckloads can carry = 12 * 83 = 996 cars
Therefore, the remaining cars equal 1006 - 996 = 10 cars
Thus, an additional truckload is necessary to transport these 10 cars.
Consequently, the last truck will hold 10 cars
In total, the required number of truckloads is 83 + 1 = 84
Thus, the last truckload will contain 10 cars, making a total of 84 truckloads needed.