Correct Option (C)
Let C denote the number of cars and S denote the number of scooters/motorbikes.
Based on the information provided:
- The total number of wheels is calculated as 4C + 2S, since cars have four wheels and scooters/motorbikes have two wheels.
- The total number of parked vehicles is C + S.
The problem states that the total number of wheels is 100 more than twice the number of parked vehicles. This can be formulated as the following equation:
4C + 2S = 2(C + S) + 100
To solve for C, simplify the equation:
4C + 2S = 2C + 2S + 100
Subtract 2S from both sides of the equation:
4C = 2C + 100
Subtract 2C from both sides:
2C = 100
Divide by 2:
C = 50
Therefore, the number of cars parked is 50.
Incorrect Options:
Options (A) 35, (B) 45, and (D) 55 are incorrect. These values for C do not satisfy the derived equation C = 50. If any of these values were used, the condition that the total number of wheels is 100 more than twice the number of parked vehicles would not be met.