SOLUTION: An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price.

Question 132663: An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. a student purchases a flute for $306.
I need to find the original price,but i don't know where to start, please help me thanks.

Found 2 solutions by checkley71, josmiceli:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
(.9*.85)X=306
.765X=306
X=306/.765
X=400 WAS THE ORIGINAL PRICE.
PROOF
400(1-.10)(1-.15)=306
400*.9*.85=306
400*.765=306
306=306
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the original price
With the 1st discount, the instrument sells for
After the 2nd discount, it sells for

The original price of the flute was $400
check:

OK
RELATED QUESTIONS
An instrument store gives a 10% discount to all students off the original cost of an... (answered by ewatrrr)
An instrument store gives a 10% discount to all students off the original cost of an... (answered by solver91311)
An instrument store gives a 10% discount to all students off the original cost of an... (answered by rfer)
An instrument store gives a 10% discount to all students off the original cost of an... (answered by drk)
1. An instrument store gives a 10% discount to all students off the original cost of an... (answered by Theo,richwmiller)
An instrument store gives a 10% discount to all students off the original cost of an... (answered by josmiceli,richwmiller)
An instrument store gives a 10% discount to all students off the original cost of an... (answered by mananth)
An instrument store gives a 10% discount to all students off the original cost of an... (answered by ikleyn)
I can't seem to come up with the answer that I'm given, but would like to know how to... (answered by ankor@dixie-net.com)