Two friends, Alejandro and Mia, agreed to split the check at a restaurant. Alejandro ordered $\$12$ worth of food and Mia ordered $\$18$ worth. At the end of the meal, Alejandro put his $\$12$ contribution on the table, plus a $20\%$ tip on his bill and Mia put her $\$18$ contribution on the table, plus a $15\%$ tip on her bill.
The total tip left by Alejandro and Mia is equal to $r\%$ of the total check for their table, where the "total check" amount does not include the tip. What is $r$?