Additions and Subtractions of Linear Algebraic Expressions

Concert tickets were sold at \(\$ \ (5x - 8)\) for an adult ticket and \(\$ \ (27 - 3y)\) for a child ticket. Mr. Lim intended to bring his family to the concert and bought \(2\) adult tickets and \(3\) child tickets. Due to unforeseen circumstances, Mr. Lim could not make it to the concert. He sold all his tickets at a loss to Mr. Rahman at \(\$ \ (31 - 5y)\) for an adult ticket and \(\$ \ (24 - x)\) for a child ticket.

Find and simplify, in terms of \(x\) and \(y\), an expression for

1. the total cost of tickets purchased by Mr. Lim,
2. the total amount paid to Mr. Lim by Mr. Rahman,
3. Mr. Lim’s total loss of money from the sales of tickets to Mr. Rahman.