Question

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 $ 70 . For one performance, 30 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was $ 1650 . What was the price of each kind of ticket?

Answer 1

x = advance
y= same day

x+y=70

30x+15y=1650

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30x+15y=1650
- x+y=70 (x15) -> 15x+15y=1050
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30x+15y=1650
-15x+15y=1050
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15x=600
x=600/15
x=40


so now u can insert the price of x AKA the price of the advanced ticket to find our the price of the same day ticket.

x+y=70
so
40+ y=70
y=70-40
y=30


x = advance =40
y= same day =30