The math club has a budget of $100 for a pizza party. the club can get large pizzas, x, for $12 and cases of soda, y, for $5.50. the club would like to buy at least 6 large pizzas and at least 4 cases of soda. which system models the situation?

I'm sorry i don't know what the question is asking for but this is what i get:

for the food to be within the budget:

6x + 4y ≤ 100

6(12) + 4( 5.5)  ≤ 100
72 + 22  ≤ 100
94  ≤ 100

with this, they could buy 6 pizzas and 4 sodas, as well as an extra soda
so that's 6 pizzas and 5 sodas to stay under budget.

sorry if i'm wrong