MATH 1020Q Chapter Homework: Faculty Debts Problem
Document Summary
The faculty debts problem essentially asks you to find how much money five different people owe the accountant given a set of rules or assumptions that are told to you. Based on these four rules, you are able to solve the problem. The biggest clue is rule number 3, which states that the four other debts, excluding the mathematicians, multiplied together equal the mathematicians debt. Therefore, we must express the mathematicians debt as four numbers thats sum is equal to twelve. However, we know the statistician owes the least, so not all the numbers can be the same. The only way the mathematician could be uncertain about the amounts is if there are two or more combinations of numbers that yield the same product. I started by listing some different combinations of four numbers that you can have that add up to twelve, while still having one number be smaller than the other three.
