Question

Dan paid 7.5% sales tax when he bought a new smartwatch. The sales tax was $30.75. What was the total cost of the smartwatch including tax?

A) $410.00
B) $450.00
C) $392.50
D) $407.50

Answer 1

To calculate the total cost of the smartwatch, convert the sales tax rate to a decimal and divide the sales tax amount by this decimal to find the pre-tax cost. Adding the pre-tax cost to the sales tax gives you the total cost. The total calculated is $440.75, but this answer is not present in the provided options, suggesting a possible oversight.

Step-by-step explanation:

The student's question involves calculating the total cost of a smartwatch including sales tax. Given that the sales tax is $30.75 and represents 7.5% of the pre-tax cost of the watch, we can calculate the pre-tax cost using the following steps:

1. Convert the percentage to a decimal by dividing it by 100. This makes 7.5% become 0.075.
2. Divide the amount of sales tax by the decimal to get the pre-tax price of the watch - $30.75 / 0.075.
3. You will get the pre-tax cost which is $410.
4. Add the sales tax to the pre-tax price to find the total cost of the smartwatch.
5. So, the total cost would be $410 + $30.75 = $440.75.

However, based on the options provided, none match the correct total. It may be a mistake in the given options, or an error made in the provided information. Based on the calculations made following the steps provided, the correct total should be $440.75. You should review the provided options and the question to ensure accuracy.