Entrance fee for one student is $10.5
As, each of 25 students had to pay $7.25 for lunch so total cost for lunch was
25 x 7.25 = $181.25
Total cost for the trip is $443.75, so after subtracting $181.25 from $443.75, we will get the total cost for the entrance fee.
443.75 - 181.25 = $262.5
$262.5 is total entrance fee of 25 students. So, to find entrance fee of one student, we will divide $262.5 by 25.
262.5/25 = 10.5
So, entrance fee for one student was $10.5