Final answer:
The ratio of vans, lorries, and motorbikes is 2:5:9, and with 8 vans present, one ratio part equals 4 vehicles. Multiplying the ratio parts for lorries and motorbikes by 4 yields 20 lorries and 36 motorbikes. Adding these to the 8 vans gives a total of 64 vehicles, which does not match any of the answer options provided.
Step-by-step explanation:
The ratio of vans to lorries to motorbikes is given as 2:5:9, and we're told there are 8 vans in the car park. To find the total number of vehicles, we need to figure out the total ratio parts and then calculate the number of lorries and motorbikes based on that ratio.
First, we determine the value of one part of the ratio by dividing the number of vans by the corresponding ratio number for vans. In this case, that's 8 vans divided by 2, which equals 4. So, one part of the ratio represents 4 vehicles.
Next, we calculate the number of lorries and motorbikes. With the ratio being 2:5:9, there are 5 parts lorries and 9 parts motorbikes, which means:
- 5 parts lorries × 4 vehicles per part = 20 lorries
- 9 parts motorbikes × 4 vehicles per part = 36 motorbikes
Adding up the number of vehicles:
- 8 vans (already given)
- 20 lorries (calculated)
- 36 motorbikes (calculated)
Therefore, 8 + 20 + 36 = 64 vehicles in total, which is not an option provided in the multiple-choice answers, indicating there may be an error in the question or in the provided answer options.