A bakery sells gourmet cupcakes and min-bundt cakes. Each cupcake uses 5 ounces of sugar and each mini-bundt cake uses 7 ounces of sugar. The bakery has only 550 ounces of sugar until their next shipment of baking supplies arrives. The want to make at least 80 total cupcakes and mini-bundt cakes. a)Write a system of inequalities that can be used to represent the situation described. b)Graph this system of inequalities.

b) Is it possible to bake 50 cupcakes and 50 mini-bundt cakes? Explain why or why not. d)Let’s say the bakery changes their recipe to use 4 ounces of sugar per cupcake and 5 ounces of sugar per mini-bundt cake. What would be the new inequalities to represent this situation?

c) Would it be possible to bake 50 cupcakes and 50 mini-bundt cakes? Explain why or why not.

Any help would be great! :)