 In this video we provide the solution to question number three for practice exam number two for math 10 30 for which We have four people Angie Bev Sessy and Dina who are dividing assets among themselves and there are four shares S1 S2 S3 S4 This table shows how these four individuals value the different assets So Angie thinks that share one is 22% of the total She thinks that share two is 26% of the value of the total share three is 28% and Share four is 24% Notice as there are four players here and four shares a fair share is one that is valued at 25% or higher Okay, in which case what we're asked to do is given this value system so if we can see all of the values of the four different players what is a Fair division of the assets so we want to come up with a fair division here We want to give everyone a fair share. So when you're looking at Angie here Angie only values share two and share three high enough Bev which would value share one share two and share four Sessy here she values share two share three and Dina It looks like values all of them. So maybe Dina was a Divider in this type of allocation here. So we got to come up with a fair share fair division turns out there might be more than one All right, so what we're gonna look and see which of the following is a fair to fair division of the assets So for the first one they want to give Angie share one. Nope. Angie doesn't think that's a fair share So that's not the possibility there. Look at the second possibility B They want to give Angie share four again Angie doesn't value on that high enough Okay, what about choice C here? For C, they're gonna give player a S3 that seems to be okay player B would get S4 That seems okay player C would get S2. That's okay and player D would get S1 That is a fair division. So it looks like C is the correct answer But for the sake of completeness, let's go through the other two ants or the other three answers to see why they don't work With the division with the allocation D here You give a share two which is okay. You give B player B share one That's okay. You're gonna give player C share four. Nope. She doesn't like that one With choice E you give you give Angie share one Nope, that doesn't work for her and then for the last possibility player a gets share three. That's okay Player B gets share one. That's okay Then the next one here player C gets share four. Nope, doesn't like that one And therefore we see that choice C is the only fair division of the assets based upon the four players value system