Question

Ray buys a computer game for $38. He uses a coupon to receive 15% off the price of the game. After the coupon is deducted, he must pay 6% tax. What is the total cost of the game, to the nearest cent?

A) $28
B) $34.24
C) $34.58
D) $36.56

Answer 1

After applying a 15% coupon to the original price of $38 and adding 6% tax, the total cost of the computer game is $34.24.

Step-by-step explanation:

The total cost of the computer game after applying a coupon and tax is calculated in the following way:

1. Calculate the discount amount by multiplying the original price by the discount percentage (converted to a decimal).
2. Subtract the discount amount from the original price to find the new price after discount.
3. Calculate the tax amount by multiplying the new price by the tax percentage (converted to a decimal).
4. Add the tax amount to the new price after discount to get the total cost.

To begin, we calculate the discount amount:
$38 × 0.15 = $5.70. The price after the discount is then $38 - $5.70 = $32.30. Next, we find the tax amount: $32.30 × 0.06 = $1.938. This rounds to $1.94 when rounded to the nearest cent. Finally, we add the tax to the discounted price to find the total cost: $32.30 + $1.94 = $34.24.

Therefore, the correct answer is B) $34.24, which is the total cost of the computer game including the coupon discount and sales tax.