Final answer:
Frank will need a total of $45 to buy enough pizzas to feed a class of 20 students, as he requires 4 pizzas at $11.25 each to cater to the whole class.
Step-by-step explanation:
Frank needs to calculate the total money he will spend to feed a class of 20 students, knowing that each pizza costs $11.25 and feeds 5 students. First, we determine how many pizzas are needed by dividing the number of students by the number of students each pizza can feed: 20 students ÷ 5 students per pizza = 4 pizzas. Next, we calculate the total cost by multiplying the number of pizzas by the cost per pizza: 4 pizzas × $11.25 per pizza = $45. Therefore, Frank will need $45 to feed a class of 20 students.