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.

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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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
Call the original price p
With the 1st discount, the instrument sells for p+-+.1p+=+.9p
After the 2nd discount, it sells for .9p+-+.15%28.9p%29
.9p+-+.15%28.9p%29+=+.9p+-+.135p
.9p+-+.135p+=+.765p
.765p+=+306
p+=+400
The original price of the flute was $400
check:
p+-+.1p+=+.9p
400+-+.1%2A400+=+360
.9p+-+.135p+=+.765p
360+-+.135%2A400+=+.765p
360+-+54+=+306
306+=+306
OK