Caroline is the manager at a local coffee house. She is tracking her sales to determine what time of day is the most profitable. She used the table below to set up the following system of equations, where s represents the price of a small cup, m is the price of a medium cup, and l Is the price of a large cup.
6s +10m+8/= 97.60
9s +12m+5/= 100.80
10s +12m+4/= 99.20
Given the information above, what is the price of a large cup of coffee?