Question

suppose that there are two types of tickets to a show: advanced and same-day. The combined cost of one advanced and one same-day is $55. for one performance, 35 advanced tickets and 25 same-day tickets were sold. the total amount paid was $1525. what is the price of each kind of ticket?

Answer 1

a + s = 55
35a + 25s = 1525
substituting for s,
35a + 25(55-a) = 1525
now finish it off by solving for a, then use that to find s.