Mrs. Page bought a new singing outfit. After 7.5% sales tax, she paid $32.25. What was the original price of the outfit?
Mrs. Page paid:
100 % price of outfit and 7.5 % price of outfit for tax.
100 % + 7.5 % = 100 / 100 + 7.5 / 100 = 107.5 / 100 = 1.075
$32.25 / 1.075 = $30
To find the original price of the singing outfit, we need to reverse calculate the total price after adding the sales tax.
Let's assume the original price of the outfit is x.
We know that the final price, after adding 7.5% sales tax, is $32.25.
So, we can set up the equation as follows:
x + 7.5% of x = $32.25
To find 7.5% of x, we can multiply x by the decimal equivalent of 7.5%, which is 0.075:
0.075 * x = $32.25
Now, we can solve for x by dividing both sides of the equation by 0.075:
x = $32.25 / 0.075
x ≈ $430
Therefore, the original price of the singing outfit was approximately $430.
To find the original price of the singing outfit, we can start by setting up an equation based on the information given.
Let's assume the original price of the outfit is x.
We know that Mrs. Page paid $32.25 after adding a 7.5% sales tax. So we need to calculate the amount of sales tax added:
Sales Tax = 7.5% of x = 0.075 * x
The total price Mrs. Page paid, including the sales tax, is the sum of the original price and the sales tax:
Total Price = Original Price + Sales Tax
$32.25 = x + 0.075 * x
Now we can solve this equation to find the value of x, which represents the original price:
1. Add the terms with x:
$32.25 = 1.075 * x
2. Divide both sides of the equation by 1.075 to isolate x:
$32.25 / 1.075 = x
Using a calculator, we can find the value of x:
x ≈ $30
Therefore, the original price of the singing outfit was approximately $30.