Question 252905
x = retail price.


x - .10*x = discount price to all students.


this is the same as discount price to all students is .9*x


.9*x - .15*(.9*x) = price with additional discount for back to school sale.


this simplifies to be price with additional discount for back to school sale to all students = .9x - .135*x = .765*x.


total discount = .765*x.


.765*x is what she bought the flute for.


Since she paid $306.00, then:


.765*x = $306.00


divide both sides of this equation by .765 to get:


x = 306/.765 = $400.


The original retail price for the flute was $400.


10% discount off of $400 = $400 - $40 = $360.


15% additional discount off of $360 = $360 - $54 = $306.00


answer is confirmed as correct.


answer is original retail price of the flute is $400.00