Part 1: Students performed in a play on a Friday and a Saturday. For both performances, adult tickets cost a dollars each and student tickets cost s dollars each.

On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1,200. On Saturday, they sold 140 adult tickets and 50

student tickets, and collect $1,230.

This situation is represented by this system of equations:

125a +65 s = 1,200

140a +505 = 1,230

What could the equation 265a+115s=2,430 mean in this situation?

Part 2: The solution to the original system is the pair a=7 and s=5. Explain why it makes sense that this pair of values is also the solution to the equation 265a+115s=2430.