Calculating the Total Amount of Money a Person Will Pay

Oct 13, 2025 by pynkocean.com 132 views

Understanding Sales Tax

Sales tax is a type of consumption tax that is levied on the sale of goods and services. It is typically a percentage of the purchase price of the item. In this case, the city has a sales tax rate of $7\%$ . This means that for every dollar spent on a product, the buyer will pay an additional $0.07 in sales tax.

Calculating the Total Cost of the Bakery-Made Cake

To calculate the total cost of the bakery-made cake, we need to add the cost of the cake to the sales tax. The cost of the cake is $6.50. To calculate the sales tax, we multiply the cost of the cake by the sales tax rate.

Calculating the Sales Tax

The sales tax rate is $7\%$ , which can be represented as a decimal by dividing by $100$ . So, the sales tax rate is $0.07$ . To calculate the sales tax, we multiply the cost of the cake by the sales tax rate.

# Define the cost of the cake and the sales tax rate cost_of_cake = 6.50 sales_tax_rate = 0.07

sales_tax = cost_of_cake * sales_tax_rate

Calculating the Total Cost

To calculate the total cost of the cake, we add the cost of the cake to the sales tax.

# Calculate the total cost
total_cost = cost_of_cake + sales_tax

Calculating the Total Amount of Money a Person Will Pay

Now that we have calculated the total cost of the cake, we can determine the total amount of money a person will pay for the bakery-made cake.

Calculating the Total Amount of Money a Person Will Pay

The total amount of money a person will pay for the bakery-made cake is equal to the total cost of the cake.

# The total amount of money a person will pay is equal to the total cost
total_amount_paid = total_cost

Conclusion

In conclusion, to calculate the total amount of money a person will pay for a bakery-made cake, we need to add the cost of the cake to the sales tax. The sales tax rate is $7\%$ , which can be represented as a decimal by dividing by $100$ . We multiply the cost of the cake by the sales tax rate to calculate the sales tax, and then add the sales tax to the cost of the cake to calculate the total cost. The total amount of money a person will pay for the bakery-made cake is equal to the total cost.

Example Use Case

Suppose a person wants to buy a bakery-made cake that costs $6.50. The city has a sales tax rate of $7\%$ . To calculate the total amount of money the person will pay, we can use the following Python code:

# Define the cost of the cake and the sales tax rate
cost_of_cake = 6.50
sales_tax_rate = 0.07
sales_tax = cost_of_cake * sales_tax_rate
total_cost = cost_of_cake + sales_tax
total_amount_paid = total_cost
print("The total amount of money a person will pay for the bakery-made cake is: $", round(total_amount_paid, 2))

When we run this code, we get the following output:

The total amount of money a person will pay for the bakery-made cake is: $ 7.01

This means that the person will pay a total of $7.01 for the bakery-made cake.

Discussion

The calculation of the total amount of money a person will pay for a bakery-made cake is a simple example of how sales tax works. In this case, the sales tax rate is $7\%$ , which means that for every dollar spent on the cake, the buyer will pay an additional $0.07 in sales tax. The total amount of money a person will pay for the cake is equal to the total cost, which is the cost of the cake plus the sales tax.

Mathematical Formulation

The total amount of money a person will pay for a bakery-made cake can be calculated using the following mathematical formula:

Total Amount Paid = Cost of Cake + (Cost of Cake x Sales Tax Rate)

Where:

Total Amount Paid is the total amount of money a person will pay for the cake
Cost of Cake is the cost of the cake
Sales Tax Rate is the sales tax rate

In this case, the cost of the cake is $6.50 and the sales tax rate is $7\%$ . Plugging these values into the formula, we get:

Total Amount Paid = 6.50 + (6.50 x 0.07) Total Amount Paid = 6.50 + 0.455 Total Amount Paid = 6.955

Therefore, the total amount of money a person will pay for the bakery-made cake is $6.955.

Conclusion

Q: What is sales tax?

A: Sales tax is a type of consumption tax that is levied on the sale of goods and services. It is typically a percentage of the purchase price of the item.

Q: How is sales tax calculated?

A: Sales tax is calculated by multiplying the cost of the item by the sales tax rate. For example, if the cost of the cake is $6.50 and the sales tax rate is $7\%$ , the sales tax would be $6.50 x 0.07 = $0.455.

Q: What is the total amount of money a person will pay for a bakery-made cake?

A: The total amount of money a person will pay for a bakery-made cake is equal to the total cost, which is the cost of the cake plus the sales tax. In this case, the total amount of money a person will pay for the bakery-made cake is $6.50 + $0.455 = $6.955.

Q: How do I calculate the total amount of money a person will pay for a bakery-made cake?

A: To calculate the total amount of money a person will pay for a bakery-made cake, you need to add the cost of the cake to the sales tax. The sales tax rate is $7\%$ , which can be represented as a decimal by dividing by $100$ . You multiply the cost of the cake by the sales tax rate to calculate the sales tax, and then add the sales tax to the cost of the cake to calculate the total cost.

Q: What if the sales tax rate is different?

A: If the sales tax rate is different, you need to use the new sales tax rate to calculate the sales tax. For example, if the sales tax rate is $8\%$ , you would multiply the cost of the cake by $0.08$ to calculate the sales tax.

Q: Can I use a calculator to calculate the total amount of money a person will pay for a bakery-made cake?

A: Yes, you can use a calculator to calculate the total amount of money a person will pay for a bakery-made cake. Simply enter the cost of the cake and the sales tax rate into the calculator, and it will give you the total amount of money a person will pay.

Q: What if I want to round the total amount of money a person will pay for a bakery-made cake to the nearest cent?

A: If you want to round the total amount of money a person will pay for a bakery-made cake to the nearest cent, you can use the round() function in a calculator or programming language. For example, if the total amount of money a person will pay for the bakery-made cake is $6.955, you can round it to $6.96.

Q: Can I use a programming language to calculate the total amount of money a person will pay for a bakery-made cake?

A: Yes, you can use a programming language to calculate the total amount of money a person will pay for a bakery-made cake. For example, you can use Python to calculate the total amount of money a person will pay for the bakery-made cake.

Example Code in Python

# Define the cost of the cake and the sales tax rate
cost_of_cake = 6.50
sales_tax_rate = 0.07
sales_tax = cost_of_cake * sales_tax_rate
total_cost = cost_of_cake + sales_tax
total_cost = round(total_cost, 2)
print("The total amount of money a person will pay for the bakery-made cake is: $", total_cost)

When you run this code, it will print the total amount of money a person will pay for the bakery-made cake, rounded to the nearest cent.

Conclusion

In conclusion, calculating the total amount of money a person will pay for a bakery-made cake is a simple process that involves adding the cost of the cake to the sales tax. The sales tax rate is $7\%$ , which can be represented as a decimal by dividing by $100$ . You multiply the cost of the cake by the sales tax rate to calculate the sales tax, and then add the sales tax to the cost of the cake to calculate the total cost. You can use a calculator or a programming language to calculate the total amount of money a person will pay for a bakery-made cake.