In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/motorbikes (two wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is

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.