Sure, here's how you can solve this problem:

1. First, understand that the flute was discounted twice. The first discount was 10% for being a student, and the second discount was an additional 15% for the back-to-school sale.

2. The final price that Julie paid was $306, which is 85% of the price after the first discount (because the second discount was 15%, so the price becomes 100% - 15% = 85% of the original price after the first discount).

3. To find the price after the first discount, divide the final price by 85% (or 0.85 in decimal form). So, $306 / 0.85 = $360.

4. This $360 is 90% of the original price (because the first discount was 10%, so the price becomes 100% - 10% = 90% of the original price).

5. To find the original price, divide the price after the first discount by 90% (or 0.90 in decimal form). So, $360 / 0.90 = $400.

So, the original price of the flute was $400.

Question

Sure, here's how you can solve this problem:

1. First, understand that the flute was discounted twice. The first discount was 10% for being a student, and the second discount was an additional 15% for the back-to-school sale.

2. The final price that Julie paid was $306, which is 85% of the price after the first discount (because the second discount was 15%, so the price becomes 100% - 15% = 85% of the original price after the first discount).

3. To find the price after the first discount, divide the final price by 85% (or 0.85 in decimal form). So, $306 / 0.85 = $360.

4. This $360 is 90% of the original price (because the first discount was 10%, so the price becomes 100% - 10% = 90% of the original price).

5. To find the original price, divide the price after the first discount by 90% (or 0.90 in decimal form). So, $360 / 0.90 = $400.

So, the original price of the flute was $400.

Knowee AI · Accepted Answer

Sure, here's how you can solve this problem:

1. First, understand that the flute was discounted twice. The first discount was 10% for being a student, and the second discount was an additional 15% for the back-to-school sale.

2. The final price that Julie paid was $306, which is 85% of the price after the first discount (because the second discount was 15%, so the price becomes 100% - 15% = 85% of the original price after the first discount).

3. To find the price after the first discount, divide the final price by 85% (or 0.85 in decimal form). So, $306 / 0.85 = $360.

4. This $360 is 90% of the original price (because the first discount was 10%, so the price becomes 100% - 10% = 90% of the original price).

5. To find the original price, divide the price after the first discount by 90% (or 0.90 in decimal form). So, $360 / 0.90 = $400.

So, the original price of the flute was $400.

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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