4) Mendoza's Pizzeria offers many wonderful topping options on their world-famous pizza pies. A cheese pizza costs $20, plus it costs S1 for any veggie topping (onions, green peppers, spinach, etc), and S2 for any meat topping (pepperoni, bacon, sausage, etc.). There must be at least 2 toppings on each pizza pie, but there cannot be more than 10 toppings on any one pie. Marty enters the scene with $30 in his pocket. a. Write a system of inequalities that represents the constraints on the number of each topping that can be included on Marty's pizza.

Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a treasure chest, which they immediately opened. To their joy, they found it to be full of pretzels! Immediately they each ate 10, then they decided they should save the rest for later. That night, after the others had fallen asleep, Ahab crept to the treasure chest and opened it. He separated the pretzels into 3 equal piles. There was 1 extra pretzel, which he gave to a passing monkey. Then he stole one of the 3 equal piles of pretzels, put the rest back into the chest, and went back to camp. A short time later Bluebeard sneaked over to the chest. He separated the pretzels into four equal piles (he wasn’t quite as greedy as Ahab). There were 2 extra pretzels, which he gave to a passing monkey. He then stole one of the four piles and put the rest back into the chest. Still later Hook went to the chest and separated the pretzels into five equal piles. There were 3 left over, which he gave…

How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice cream cake and the other is red velvet cake?

Pizza Gut sells only pizza. They offer five types of crust, five types of cheese, four meat toppings and four vegetable toppings. If you must order exactly one type of cheese, one meat topping and one vegetable topping on your pizza, how many different pizzas can you order at Pizza Gut?