Final answer:
To find the total amount Eva paid for a board game and a video game including sales tax, combine the costs, calculate 5% of it, round to the nearest 10 cents, and add this tax to the initial sum. Eva's total payment is $80.65.
Step-by-step explanation:
The question asks to calculate the total amount Eva paid for a board game and a video game including the sales tax. First, we need to find the combined cost of both items.
The board game costs $27.95, and the video game costs $48.90,
so the combined cost before tax is:
= $27.95 + $48.90
= $76.85
Next, we calculate the sales tax by converting the percentage to a decimal and then multiplying it by the total cost of the items:
5% sales tax as a decimal is 0.05
Sales tax amount = $76.85 × 0.05
= $3.843
Since we need to express our answer to the nearest 10 cents, we round $3.843 to $3.80.
Finally, we add the original cost of the items to the sales tax to find the total amount paid:
$76.85 + $3.80
= $80.65
Therefore, the total amount Eva paid for the board game and video game, including sales tax, is $80.65.