Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $40. For one performance, 30 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $1050. What was the price of each kind of ticket?
This is a system x is the number of advanced tickets sold y is the number of same day tickets sold once you label your variables then write the equations x+ y = 45 total tickets sold 20x + 25y = 1050 money taken in multiply the top equation by -20 and the x will drop out -20x - 20y = -900 20x + 25y = 1050. Add the equations result is 5y = 150, divide by 5 , y or same day tickets cost $30 substitute 30 into first equation x + 30 = 45 therefore x = 15
