Moe and Lindsey are going out to eat. Moe’s order totals $26.87, and Lindsey’s is $24.99. They have decided that they will split the bill equally. If sales tax is 8.4%, and they want to leave 25% gratuity, how much will each of them pay?

The total bill before tax and gratuity is $26.87 + $24.99 = $<<26.87+24.99=51.86>>51.86.

The total bill including tax is $51.86 + ($51.86 * 8.4%) = $<<51.86+(51.86*8.4*.01)=56.23>>56.23.
The total bill including tax and gratuity is $56.23 + ($56.23 * 25%) = $<<56.23+(56.23*25*.01)=70.29>>70.29.
Each of them will have to pay $70.29 / 2 = $<<70.29/2=35.15>>35.15 each. Answer: \boxed{35.15}.