document.write( "Question 127579: 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?
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Algebra.Com's Answer #93487 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
The original price was x. So after the 10% discount the price was \"0.9x\". That price was then discounted 15%, so the price is now \"%280.85%29%28.9%29x\", but we know this expression is equal to $306, because that is what was paid. So:\r
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\n" ); document.write( "\n" ); document.write( "\"%280.85%29%28.9%29x=306\"\r
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\n" ); document.write( "\n" ); document.write( "\"0.765x=306\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=306%2F.765\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=400\"\r
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\n" ); document.write( "\n" ); document.write( "If the original price was 400, the 10% discount price would have been 400 - 40 = 360, then the 15% discount would have been 360 * .15 = 54, so the final price would be 360 - 54 = 306. Checks.\r
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