Glenda makes an online purchase of 4 picture frames at …

Mathematics Questions

Glenda makes an online purchase of 4 picture frames at $12.95 each and 4 mats at $5.89 each. The site states that the tax is 6.5% of the total purchase price, and shipping charges are based on a specified table. What are the total costs including tax and shipping?

Short Answer

To calculate the total cost for frames and mats, first determine their individual costs, resulting in $75.36 before tax. After applying a tax of 6.5% and including additional fees, the final amount comes to $88.46, leading to an overcharge of $3.40.

Step-by-Step Solution

Step 1: Calculate the Total Cost of Frames and Mats

Start by determining the total cost for both the frames and mats individual purchases. You will do this by multiplying the unit price of each item by the number of pieces purchased. The calculations should be:

  • Frames: $5.89 x 4 = $23.56
  • Mats: $12.95 x 4 = $51.80

Step 2: Add Up the Total Before Tax

Next, sum the costs of frames and mats to find the total amount before tax. This step is crucial as it sets the baseline for calculating the applicable tax on the purchase:

  • Total before tax: $23.56 + $51.80 = $75.36

Step 3: Calculate the Final Amount After Tax and Fees

Finally, multiply the pre-tax total by the tax rate to find the tax amount. Add both the tax and any additional fees to get the final amount. Here’s how the calculations proceed:

  • Tax: $75.36 x 6.5% = $4.90
  • Final amount: $75.36 + $4.90 + $8.20 = $88.46
  • Overcharge: $91.86$88.46 = $3.40

Related Concepts

Total Cost

The total amount calculated by multiplying the unit price of items by the quantity purchased.

Subtotal

The total amount before any taxes or additional fees are added, calculated by summing the costs of all items.

Final Amount

The total cost after adding taxes and any additional fees to the subtotal, representing the amount due for payment.

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