Sally is buying 6 identical shirts. The original price for one shirt is 39.99. The store is having a "buy one get one half off" sale and Sally has a coupon for an additional 25% off. The sales tax rate is 4 3/8. What is the total cost for the items Sally purchased. Show all work.
(3*39.99 + 3*39.99/2)(0.75)(1.0438) = ?
To find the total cost for the items Sally purchased, we need to go through the steps:
Step 1: Calculate the sale price of one shirt with the "buy one get one half off" discount.
- Since the discount is "buy one get one half off," Sally will pay the full price for the first shirt and half price for the second shirt.
- The full price of one shirt is $39.99.
- Half price of one shirt is $39.99 divided by 2, which is $19.995 (rounded to the nearest cent).
- We can further round this to $20 for simplicity.
Step 2: Calculate the price of one shirt after applying the coupon discount.
- Sally has a coupon for an additional 25% off.
- To calculate the price after the discount, we multiply the sale price ($20) by 75% (100% - 25%).
- $20 multiplied by 75% is $15.
Step 3: Calculate the total price of all 6 shirts before taxes.
- Sally is buying 6 identical shirts, so we need to multiply the price after applying the coupon discount ($15) by 6.
- $15 multiplied by 6 is $90.
Step 4: Calculate the sales tax on the total price.
- The sales tax rate is given as 4 3/8, which can be written as a decimal by dividing 4 by 8 and adding it to 3/8. This comes out to approximately 0.4375.
- To calculate the sales tax, we multiply the total price before taxes ($90) by the sales tax rate (0.4375).
- $90 multiplied by 0.4375 is $39.375.
Step 5: Calculate the final total cost.
- To find the final total cost, we add the total price before taxes ($90) and the sales tax ($39.375).
- $90 + $39.375 is approximately $129.38.
Therefore, the total cost for the items Sally purchased is approximately $129.38.