The combined cost of one advance ticket and one same-day ticket to a show was $50. it is known that 17 advance tickets were sold and 48 same-day tickets were sold, for total receipts of $1842. what was the price of each kind of ticket?

 1 advance + 1 same-day = $50
17 advance + 17 same-day = $50 x 17 = $850

$1842 - $850 = $992
48 - 17 = 31 same-day

31 same-day = $992
1 same-day = $32

1 advance + 1 same-day = $50
1 advance + $32 = $50
1 advance = $50 - $32 = $18

same day ticket costs $32 and advance-day ticket costs $18.

A same day ticket costs $32 and an advance day ticket costs $18. Hope this helpd.