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.

Answer 1

See below

Step by step Step-by-step explanation:

Here it is given that , the price of a ticket is $42.99 before tax . And he got a discount of 40% . So the cost after discount will be ,

`\longrightarrow Cost = \$ 42.99 - \$42.99* (40)/(100) \\`

Simplify ,

`\longrightarrow Cost = \$ 42.99 - \$17.196 \\`

`\longrightarrow Cost = \$ 25.79`

Again it is given that he paid a tax of 7% on the discounted price . So the tax paid in dollars will be ,

`\longrightarrow Tax = 7\% \ of \ \$25.79\\`

Simplify ,

`\longrightarrow Tax = (7)/(100)* \$ 25.79`

`\longrightarrow \underline{\underline{ Tax =\$ 1.80 }}`

Answer of Part A : He paid a sales tax of $1.80 .

Now the total amount paid can be calculated by adding sales tax to the cost after discount .

`\longrightarrow Total\ Amount = \$ 25.79 +\$ 1.80\\`

Add ,

`\longrightarrow \underline{\underline{ Total \ Amount = \$ 27.59}}`

Answer of Part B : The total amount paid by Ronald for ticket is $27.59 .