Four Friends {Joe , Tim , Sam , and Ron

Essay

Four friends {Joe , Tim , Sam , and Ron } have decided to divide up a multi flavored cake which was jointly purchased for $24 using the lone-divider method . the cake is divided into four pieces {s₁ , s₂ , s₃ , and s₄} . the following table gives the dollar walue of each of the slices according to each of the four fiends .

which of the four friends is the divider?
-Based on the above scenario , find a fair division of the cake using s₁, s₂, s₃ , and s₄ as fair shares, and explain why this is the only possible fair division.