Number Theory
In boffo Ball, a team can make two different kinds of scores
In boffo Ball, a team can make two different kinds of scores: one that counts for 3 points and one that counts for 7 points. 1. In one game last year, the Mongooses defeated the Rattlesnakes by a score of 42 to 37. List all the ways that each team could have arrived at its final score. 2. Certain scores are impossible for one team to get – 4 points, for instance. List all the impossible scores you can. 3. Find the highest score that’s impossible to get in Boffo Ball. Prove that it’s the highest. For each of the three parts above: a. Explain how you went about solving the problem – what strategies you tried, what insights you had. b. Describe your solution as clearly as you can. c. Convince a reader of your paper that your solution is correct.
Number Theory