Fitz is a show dog. His trainer wants him to have a beautiful and brilliant coat. The veterinarian suggested a special diet for the trainer to follow. For each feeding, Fitz eats 13 of a can of wet dog food, 14 of a bag of dry dog food, and 25 a patty of special meat. The special meat comes in a package of 6 cakes. Fitz has two meals a day.

The dog is entirely out of food. The trainer goes to the store and buys 12 cans of wet food, 6 bags of dry food, and 2 packages of meat.

a. How many days will the dog be fed before the trainer needs to buy any more food?

b. How much of the other two types of dog food will be left after the first type of dog food runs out?

c. The trainer wants to plan better. She goes to the store on the day she ran out of the first type of dog food. She decides to buy enough dog food to last 60 days. Knowing what she already has in the house, how much more of each type of dog food does she need to buy in order to use up all the food in 60 days? Is it possible? Explain.

d. What is the minimum amount of food the trainer could buy such that the dog would finish all of it after a certain number of meals? Explain.