Start by calculating the dollar amount of the discount. Then subtract the discount from the regular price.
About $ 6.35
Practice makes perfect
We want to find the admission price after the discount and the tax. We will start by calculating the dollar amount of the discount. To do so, we will use the percent equation.
part = percent * whole
We are given that the regular price is $ 7.50, and the discount is 20 %. Let d represent the dollar amount of the discount.
d = 20 % * $ 7.50
Before solving the equation that we got, let's write the percent as a decimal. We can do this by ignoring the percent symbol and moving the decimal point two places to the left.
We got that 20 % is equal to 0.20. or 0.2.
d = 20 % * $ 7.50 [0.3em] ⇓ [0.3em]
d = 0.2 * $ 7.50
Now we will solve the equation for d. To keep things simple, let's ignore the dollar symbol for now.
We got that d= 1.50 is a solution to the equation. This means that the dollar amount of the discount is $ 1.50. Now we can calculate the cost after the discount.
$ 7.50 - $ 1.50 = $ 6
The cost after the discount is $ 6. Next, we will find the admission price after the discount and the tax, which is the cost after the discount plus the tax. We are given that the tax is 5.75 %. We can find the dollar amount of the tax using the percent equation. Let t represent the dollar amount of the tax.
part = percent * whole
⇓
t = 5.75 % * $ 6
Let's start by writing the percent as a decimal the same way we did before.
We got that 5.75 % is equal to 0.0575.
t = 5.75 % * $ 6 [0.3em] ⇓ [0.3em]
t = 0.0575 * $ 6
Now we will solve the equation for t. Again, we will ignore the dollar symbol.
The dollar amount of the tax is about $ 0.35. Finally, we will calculate the desired sale price by adding $ 0.35 to the price after the discount.
$ 6 + $ 0.35 = $ 6.35
The admission price after the discount and the tax is about $ 6.35.
