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. J

Question 279975: 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?
Found 2 solutions by josmiceli, richwmiller:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = original price
After the 1st discount, it cost

After the 2nd discount, it costs

The original cost was $400
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x= original cost
.9*x= discounted price
.85*(.9x)= final price
.85*.9x=306
.765x=306
x=400
note if the 10% and 15% were added together it would be
.75x=306
x=408

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