On a Saturday night, at a party, you want to consume only vodka cocktails and gin cocktails. One vodka cocktail costs $8.75 and one gin cocktail costs $15.50. You want to taste both cocktails but you do not want to be too drunk so you decide to limit your total consumption of cocktails to 10 glasses. Your budget for this night is $110. Of course, you can only order integer values for glasses.

Taking into account all the information above, how many different options do you have in total for the number of vodka and gin cocktails?