Nicole bought a new TV at Target for $384.87. if the TV was on sale for 25% off and she paid with her red card which earned her another 5% off, and the tax rate is 8.25% what was the original price of the TV? Be sure to show how you arrived at your answer

Let x = the original price.

With 25% off, the price drops to

0.75x.

With another 5% off, the price drops to

0.95 * (0.75x) = 0.7125x

Add 8.25% tax, and the price goes up to

1.0825 * (0.7125x) = 0.7713x

This is equal to the amount paid, so

0.7713x = 384.87

x = 384.87/0.7713 = $498.99

Answer: Original price = $498.99