Final answer:
To serve 36 people at the party, Nyoko should order 8 large pizzas.
Step-by-step explanation:
To determine how many large pizzas Nyoko should order to serve 36 people, we can set up a proportion.
Given that 2 large pizzas serve 9 people, we can write the proportion as:
2/9 = x/36
To solve for x, we can cross-multiply:
2 * 36 = 9x
72 = 9x
Divide both sides of the equation by 9:
x = 8
Therefore, Nyoko should order 8 large pizzas to serve 36 people at the party.