A pair of shoes with a regular price of $127 is discounted 28%. There's a 9 1/2% sales tax after the discount. What is the discounted price of the shoes plus tax?

Answer: $100.12

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the regular price of the pair of shoes by the percent discount in decimal form (divided by 100)

127 x (28/100) =

127 x (0.28) = $35.56 (amount of the discount)

Next, we have to subtract the discount to the regular price

127-35.56 = $91.44 (discounted price)

Tax: 9 1/2 % = (9x2+1) / 2 = 19/2 = 9.5%

We have to multiply the discounted price by the tax percentage (decimal form)

91.44 x (9.5/100) =

91.44 x 0.095 = $ 8.68 (tax amount)

Finally we have to add that amount to the discounted price:

91.44 + 8.68 = $100.12