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 5388: 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? I solved this question and i got $408 but they say that it isn't correct.
Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
Let x = original cost
Let .90x = the amount the student pays (100%-10% = 90%)
Let .85(.90x) = the sales price (100%-15%=85%)
If the sales price = 306, then
.85(.90x)=306
.765x=306
x=$400
So the original cost was $400
This makes sense because $40 was taken off for the student discount, bringing the sales price to $360 and an additional 15% of 360 = $54, so $360-$54 = $306

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)

An instrument store gives a 10% discount to all students off the original cost of an... (answered by checkley71,josmiceli)

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)