Elvira can purchase ready-made pizzas for $14.50 each. If she makes them in the cafeteria, she can spend $44.20 on ingredients and $6.25 per pizza on labor. For how many pizzas is it cheaper for the cafeteria to make the pizzas themselves rather than buy them ready-made?

The total cost if the cafeteria makes the pizza is:

cost = 44.20 + 6.25 p

where p is the number of pizza

while the cost if it is ready made is:

cost (ready made) = 14.50 p

Equating the two to find for x:

44.20 + 6.25 p < 14.50 p

p > 5.35

So it is cheaper when 6 pizzas or more is made