A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $326. Find the orginal price.
To find the original price, you need to subtract the total markdowns from the one-day sale price. Let's assume the original price of the ski set is x.
The first markdown is 15% of x, which is 0.15x.
The second markdown is 20% of the discounted price after the first markdown, which is 0.20 * (x - 0.15x).
The final discounted price after both markdowns is the one-day sale price, which is $326.
The equation can be set up as:
x - (0.15x + 0.20(x - 0.15x)) = 326
Simplifying the equation:
x - 0.15x - 0.20x + 0.20(0.15x) = 326
x - 0.15x - 0.20x + 0.03x = 326
0.68x - 0.20x = 326
0.48x = 326
x = 326 / 0.48
Finally, solving for x:
x ≈ $678.33 (rounded to the nearest cent)
The original price of the ski set is approximately $678.33.