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?
.85*.90 * C = 306
To find out the original cost of the flute, we can start by assuming that the original cost is represented by "x".
First, we apply the 10% discount to the original cost. We can calculate this by multiplying the original cost "x" by 0.90 (100% – 10% = 90%). This gives us 0.90x.
Next, during the back to school sale, an additional 15% is taken off the discounted price. To calculate this, we multiply the discounted price 0.90x by 0.85 (100% – 15% = 85%). This gives us 0.765x.
Finally, we know that Julie purchased the flute for $306. We can set up an equation to solve for "x" using the information provided:
0.765x = $306
To solve for "x," we divide both sides of the equation by 0.765:
x = $306 / 0.765
Using a calculator, we can find that x is approximately $400.
Therefore, the original cost of the flute was $400.