A bus has 40 seats and the passengers agree to share the total bus fare among themselves equally. If the total fair is 80.67 , find the total no of the seats unoccupied

  1. 36

  2. 33

  3. Thirty seven

  4. 21


Correct Option: C

AI Explanation

To find the total number of seats unoccupied, we need to determine the number of passengers on the bus.

If the total fare is shared equally among the passengers, we can calculate the fare per passenger by dividing the total fare by the number of passengers.

Let's assume the number of passengers on the bus is "x".

The fare per passenger = Total fare / Number of passengers = 80.67 / x

Since the fare is shared equally among all passengers, the fare per passenger should be a whole number.

Now, let's consider the given information: the fare per passenger is 80.67 / x and the total number of seats on the bus is 40.

To find the number of passengers, we can set up an equation:

Number of passengers * Fare per passenger = Total fare

x * (80.67 / x) = 80.67

Simplifying the equation, we have:

80.67 = 80.67

This equation is true for any value of x. Therefore, the number of passengers can be any number.

To find the number of seats unoccupied, we subtract the number of passengers from the total number of seats:

Number of seats unoccupied = Total number of seats - Number of passengers = 40 - x

Since the number of passengers can be any number, the number of seats unoccupied can also be any number between 0 and 40.

Therefore, there is not enough information given to determine the exact number of seats unoccupied. The correct answer cannot be determined with the given information.

None of the options (A, B, C, or D) provided is correct.

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