An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders five Falafel wraps, fifteen Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $271.25. The next month, she orders eight Falafel wraps, eighteen Turkey BLT sandwiches, and fourteen hot Ham and Swiss paninis for a total of $272. For the third month, she orders twelve Falafel wraps, sixteen Turkey BLT sandwiches, and twelve hot Ham and Swiss paninis for a total of $267. How much does each sandwich cost?