To determine how many full truckloads are needed and how many cars will be in the last truck, we can follow these steps:
- Total number of cars: The car dealer plans to bring in 1,006 new cars.
- Capacity of each truck: Each auto transport truck can hold 12 cars.
Step 1: Calculate the number of full truckloads needed.
To find out how many full truckloads are needed, we can divide the total number of cars by the capacity of each truck:
\[ \text{Full truckloads} = \left\lfloor \frac{1006}{12} \right\rfloor \]
Calculating this:
\[ \frac{1006}{12} = 83.8333 \]
Taking the floor value (the largest whole number less than or equal to \(83.8333\)), we get:
\[ \text{Full truckloads} = 83 \]
Step 2: Calculate the number of cars already transported in the full truckloads.
Now, we multiply the number of full truckloads by the capacity of each truck to find out how many cars have been transported:
\[ \text{Cars in full truckloads} = 83 \times 12 = 996 \]
Step 3: Calculate the number of cars in the last truck.
To find out how many cars will be in the last truck, we subtract the number of cars already loaded into full truckloads from the total number of cars:
\[ \text{Cars in the last truck} = 1006 - 996 = 10 \]
Final Summary:
- Full truckloads needed: 83
- Cars in the last truck: 10
So, the car dealer will need 83 full truckloads and 10 cars in the last truck.
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