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?
To compare the two options, let's calculate how much Martha will pay in each case.
Option A: With the store sale, Martha will buy one shirt at full price and get the second shirt at a 50% discount. So, the total cost of the two shirts before tax is $20 + ($20 * 0.5) = $20 + $10 = $30.
Option B: With the coupon, Martha will get a 30% discount on the entire purchase. The total cost of the two shirts before tax is $20 + $20 = $40. After applying the coupon, Martha will pay $40 - ($40 * 0.3) = $40 - $12 = $28.
Now let's calculate the tax Martha will have to pay in each case.
Option A: The tax on the purchase of $30 will be $30 * 0.07 = $2.10.
Option B: The tax on the purchase of $28 will be $28 * 0.07 = $1.96.
Finally, let's calculate the total cost in each case.
Option A: The total cost including tax will be $30 + $2.10 = $32.10.
Option B: The total cost including tax will be $28 + $1.96 = $29.96.
Comparing the two total costs, we can see that Option B will cost less money. Therefore, Martha should choose Option B: Use the coupon for 30% off the entire purchase.