Question 36889
The combined cost of one advance ticket to a show and one same-day ticket was $55 . It is known that 30 tickets were sold in advance and 25 the same day, for total receipts of $1575 . What was the price of each kind of ticket? 

Let cost of advance tickets be "x"
Then cost of same day tickets is "55-x"
Value of advance tickets sold is 30x
Value of same day tickets sold is 25(55-x)
EQUATION:
Value + Value = $1575
30x+25(55-x)=1575
30x+(25)(55)-25x=1575
5x=1575-25(55)
x=315-275
x=$40 (price of advance tickets)
55-x=$15 (price of same day tickets)

Cheers,
Stan H.