Question

The price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off. He then paid 7% sales tax on the discounted price. Part A: How much did Roland pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Roland paid for the ticket? Show all work and steps in your solution. (5 points)

Answer 1

Answer:

PART A:

      $ 1.80558

PART B:

     $ 27.59958    

Step-by-step explanation:

• The price of an all-access ticket to the fair is $42.99 before tax.

Also,

• Roland bought the all-access ticket for 40% off.

i.e. he will have to pay (100-40)%=60% of the amount of the actual ticket.

This means that the price of ticket after the offer will be:

$=60\%\ of\ 42.99\\\\=\dfrac{60}{100}\times 42.99\\\\=0.60\times 42.99\\\\=\ 25.794$

Hence, discounted price=$ 25.794

• Now, Ronald has to pay 7% sales tax on the discounted price.

i.e.

he has to pay 7% tax on 25.794

i.e.

$=7%\times 25.794\\\\=\dfrac{7}{100}\times 25.794\\\\=0.07\times 25.794\\\\=\ 1.80558$

PART A:  

         Hence, the amount of sales tax=$ 1.80588

PART B:

      The total amount that he will pay for the ticket is:

   Amount of tax+Discounted price

=  1.80558+25.794

= $  27.59958