how to find the price of a board game that costs $14.99 with a sales tax of 6.50. SHOW WORK!

1 answer

To find the total price of the board game with tax, you can follow these steps:

  1. Identify the cost of the board game: \[ \text{Cost of board game} = 14.99 \]

  2. Identify the sales tax rate: The sales tax is given as 6.50%. To use it in calculations, we need to convert this percentage to a decimal: \[ \text{Sales tax rate} = \frac{6.50}{100} = 0.065 \]

  3. Calculate the amount of sales tax: To find the amount of sales tax, multiply the cost of the board game by the sales tax rate: \[ \text{Sales tax} = \text{Cost of board game} \times \text{Sales tax rate} = 14.99 \times 0.065 \]

    Performing the calculation: \[ \text{Sales tax} = 14.99 \times 0.065 = 0.97435 \] Rounding this to two decimal places (which is standard for currency): \[ \text{Sales tax} \approx 0.97 \]

  4. Calculate the total price: Now, add the sales tax to the original cost of the board game to get the total price: \[ \text{Total price} = \text{Cost of board game} + \text{Sales tax} = 14.99 + 0.97 \]

    Performing the addition: \[ \text{Total price} = 14.99 + 0.97 = 15.96 \]

  5. Final Answer: Therefore, the total price of the board game after including sales tax is: \[ \text{Total price} = 15.96 \]

So, the final price of the board game is $15.96.