That is an obscene amount of money and I would not pay it without a breakdown of expenses. What you are paying for is the instructor's loss of income for that day, her room and meals, her fee for dancing with you, her hair appointment and incidentals. Except for the fees, all other costs should be divided up between the students she is dancing with. The studio must take a cut, which is just wrong in my opinion. Don't blindly pay, ask questions.