In Ms. Chick’s class the students have recently set up a 10-gallon aquarium. Once they have set it up, they began choosing fish. The expert at the local pet store says that the norm is 1 inch of fish for each gallon of water in the tank.
So far we’ve purchased 7 inches of fish. If we purchased fish whose lengths are whole inches, how many different combinations of fish sizes could we have?
Bonus: Do some research on "partitions of integers" (don’t be alarmed: I am not good at this…
). and see if you can find how many ways we could get 10 or even 12 inches of fish.