I would feel better if you'd explain how you "know" that a "same-day" ticket is $15.
"The combined cost of one advance ticket and one same-day ticket is $35." This would imply that the cost of one advance ticket is $(35-15), or $10.
Check by substitution to determine whether $15 and $10 are correct. If not, please show your work, so that someone else or I could step back in and help.