Nayeli went shopping for a new video game because of a sale. The store was offering a 45% discount. If the price on the tag was $44, what would be the price after the discount but before tax, to the nearest dollar and cent?

Answer 1

To find the price after the discount, we first need to calculate the amount of the discount on the original price of the video game.

1. Calculate the discount amount: \[ \text{Discount} = \text{Original Price} \times \text{Discount Rate} \] Here, the original price is $44 and the discount rate is 45% (or 0.45 when expressed as a decimal). \[ \text{Discount} = 44 \times 0.45 = 19.80 \]

2. Subtract the discount from the original price to find the new price: \[ \text{Price After Discount} = \text{Original Price} - \text{Discount} \] \[ \text{Price After Discount} = 44 - 19.80 = 24.20 \]

Therefore, the price after the discount but before tax is $24.20.