(a) Part A Martha is buying two shirts that each cost $20. at a local store. She is considering two options to purchase the shirts.
Option A: Use the store sale- buy one shirt and get a second shirt at 50% off the original price.
Option B: Use a coupon for 30% off the entire purchase. Martha will also pay 7% tax on her purchase. Which option will cost less money?
First, let's calculate the cost of the shirts under each option:
Option A:
- The first shirt costs $20.
- The second shirt is 50% off, so it is $20 * 0.50 = $10.
- The total cost for the two shirts under Option A is $20 + $10 = $30.
Option B:
- The total cost of the shirts is $20 * 2 = $40.
- There is a coupon for 30% off the entire purchase, so the discount is $40 * 0.30 = $12.
- After the discount, Martha will pay $40 - $12 = $28 for the shirts.
- Martha will also have to pay 7% tax on her purchase, which is $28 * 0.07 = $1.96.
- The total cost for the two shirts under Option B, including the tax, is $28 + $1.96 = $29.96.
Comparing the total costs of the two options, buying the shirts using Option B will cost less money. Therefore, Martha should choose Option B.
Explain your choice for part A. Be sure to include the total price, including tax, of each option in your answer.
Apologies for the confusion in my previous response. Let's recalculate the total prices for each option, including tax:
Option A:
- The first shirt costs $20.
- The second shirt is 50% off, so it is $20 * 0.50 = $10.
- The total cost for the two shirts under Option A is $20 + $10 = $30.
- Martha will also have to pay 7% tax on her purchase, which is $30 * 0.07 = $2.10.
- The total cost for the two shirts under Option A, including tax, is $30 + $2.10 = $32.10.
Option B:
- The total cost of the shirts is $20 * 2 = $40.
- There is a coupon for 30% off the entire purchase, so the discount is $40 * 0.30 = $12.
- After the discount, Martha will pay $40 - $12 = $28 for the shirts.
- Martha will also have to pay 7% tax on her purchase, which is $28 * 0.07 = $1.96.
- The total cost for the two shirts under Option B, including tax, is $28 + $1.96 = $29.96.
Comparing the total costs of the two options, buying the shirts using Option B will cost less money. Therefore, Martha should choose Option B, which has a total cost of $29.96 including tax, compared to Option A's total cost of $32.10 including tax.