Waec Model Questions Vol1 2017 Mathematics Question 5

A school is organizing a mathematics competition. The total number of students participating is represented by the variable S. Each student is required to pay a registration fee of ₦200. The school plans to use 30% of the total registration fees collected to purchase prizes for the competition. The remaining amount will be used to cover administrative costs. (a) Write an expression for the total registration fees collected in terms of S. (b) If the school expects 150 students to participate, calculate the total registration fees collected. (c) Determine the amount allocated for prizes and the amount left for administrative costs based on the expected number of participants. (d) If the school decides to increase the registration fee to ₦250, what will be the new total registration fees collected if the number of participants remains the same? How much will be allocated for prizes in this case?