Final answer:
To find the percentage of passengers on a bus that is over its capacity by 20%, first calculate the total number of passengers, which is 72. Then, compute the percentage this represents of the bus's capacity, which is 120%; however, in context, the bus is fully occupied, representing 100% of its capacity.
Step-by-step explanation:
The student asked about the percentage of passengers on a bus that is 20% over its capacity. The bus has a capacity of 60 people, which means the bus currently holds 20% more than 60. To calculate the number of passengers, we use the formula:
Number of passengers = Capacity + (Capacity × Percentage Over Capacity)
Substituting the values in, we get:
Number of passengers = 60 + (60 × 0.20) = 60 + 12 = 72 passengers
Now, we need to calculate what percentage 72 passengers is of the bus's capacity:
Percentage of passengers = (Number of passengers / Capacity) × 100%
Percentage of passengers = (72 / 60) × 100% = 1.2 × 100% = 120%
Therefore, the bus is at 120% of its capacity, but since the question seems to be looking for the percentage of the capacity that is filled rather than the percentage overcapacity, the correct answer would be 100%.