Step-by-step explanation:
There are two types of tickets to a show, advance and same day tickets.
Let the advance ticket be represented as x and same day ticket as y.
The combined cost of one advance ticket and one same-day ticket is $70.
x + y = 70 .... (1)
For one performance 35 Advance tickets and 25 same day tickets were sold the total amount paid for the ticket was 2150
35 x + 25 y = 2150 ... (2)
multiply eq (1) by 25, we get
25 x + 25 y = 1750 ... (3)
subtract eq (3) from (2), we get
10 x = 400,
x = 40, substitute in eq (1)
40 + y = 70
y = 30
The cost of an advance ticket = $40
The cost of an same day ticket = $30
