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?: *
$325
$375
$400
$425
Please explain, thanks
What's to explain?
(0.90)(0.85)P = $306
Solve for the original price, P
The regular price was 400.00
400.00-10%=360.00
360.00-15%=306.00
A woman saved $225 on the new sofa which was on sale for 30% off. WHat was the original price?
To find out how much the flute originally cost, we need to reverse the discounts applied to the final price of $306.
First, we know that Julie received a 10% discount as a student. This means that the price she paid after this discount was 100% - 10% = 90% of the original cost.
Let's call the original cost of the flute "X". After the 10% student discount, Julie paid 90% of X, or 0.9X.
Next, during the back-to-school sale, an additional 15% is taken off the discounted price. This means that the price Julie paid after this extra discount was 100% - 15% = 85% of the discounted price.
So, the equation becomes:
0.85 * 0.9X = $306
To solve for X, we divide both sides of the equation by 0.85 * 0.9:
X = $306 / (0.85 * 0.9)
Calculating this gives us:
X = $400
Therefore, the original cost of the flute was $400.
Hence, the correct answer is $400.