Final answer:
To solve this problem, you can invite 10 friends over if you order three pizzas.
Step-by-step explanation:
To solve this problem, we need to find the number of friends you can invite over if you order three pizzas. You can eat 1/3 of a pizza, and each of your friends can eat 1/4 of a pizza. So, the total amount of pizza that will be eaten is 1/3 + (1/4 * x), where x is the number of friends. Taking into account the three pizzas, the inequality to solve is 1/3 + (1/4 * x) <= 3. To solve this inequality, we can multiply both sides by 12 to get rid of the denominators: 4 + 3x <= 36. Now, we can subtract 4 from both sides to isolate the variable: 3x <= 32. Finally, we divide both sides by 3 to solve for x: x <= 10 2/3. So, you can invite 10 friends over if you order three pizzas.