The teacher agrees to order pizza for the class. For every student in the class, she will buy 2 pieces of cheese and 1 piece of onion and they will eat exactly that amount. A large pizza has 18 slices. She orders 6 total pizzas and there are 8 pieces of cheese and 4 pieces of onion leftover. How many students are in the class? Give me reasons, before answering the question
Cheese pizzas are 2 / 3 of the pizza's purchased because 2 / (2 + 1) = 2 / 3. She buys 4 cheese pizzas because 6 x (2 / 3) = 4. These give her 72 pieces of cheese pizza because 4 x 18 = 72. The students at 64 pieces of cheese because 72 - 8 = 64. There are 32 students in her class because 64 / 2 = 32. So the final answer is 32.