how many senior citizen tickets were sold

Question

university theater sold 438 tickets for a play. Tickets cost $24 per adult and $10 per senior citizen. If total receipts were $6298, how many senior citizen tickets were sold?

Answer 1

A = number of adult tickets

S = number of senior tickets

 

24A + 10S = 6298

A + S = 438

 

Solve for A and S and get

 

A = 137

S = 301

 

Test the solution.