SOLUTION: I can't seem to come up with the answer that I'm given, but would like to know how to properly solve this. The answer given is: $400. The problem: An instrument store gives a 10%

Question 252744: I can't seem to come up with the answer that I'm given, but would like to know how to properly solve this. The answer given is: $400.
The problem: 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. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?
Thanks again, Daniel
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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. Julie, a student at the local high school, purchases a flute for $306.
How much did it originally cost?
:
x = original cost
:
If she a has 10% discount, she is paying 90% of the original cost (.9x)
.9x - .15(.9x) = 306
.9x - .135x = 306
.765x = 306
x =
x = $400

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