Total amount paid by Matt at restaurant was 55 dollars. It included a service tip of 10% on check amount.
Total bill is given by sum of check amount and tip amount (if any).
Total Bill = Check amount + Tip amount.
55 dollars = Check amount + 10% of check amount.
55 dollars = 110% of check amount.
55 dollars = 1.10 x check amount.
Check amount =

Hence, option D is correct, i.e. 50 dollars.