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)

PART A:

      $ 1.80558

PART B:

     $ 27.59958    

Also,

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:

Hence, discounted price=$ 25.794

i.e.

he has to pay 7% tax on 25.794

i.e.

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

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.