Question
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Inclusive of a sales tax, a diamond ring sold for . Find the price of the ring before the tax was
added. (Round to the nearest cent, if necessary.)
A.
B.
C.
D.

Ask by Simpson Wood. in the United States
Dec 09,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

The price of the ring before tax is approximately .

Solution

To find the price of the ring before the tax was added, we need to calculate the amount that represents the sales tax and then subtract that from the total price.
Let’s denote the price of the ring before tax as .
The total price paid, including the sales tax, is .
The sales tax rate is , which can be written as a decimal as .
The sales tax amount is therefore .
The total price paid is the sum of the price before tax and the sales tax:
Combining like terms, we get:
Now, we solve for by dividing both sides of the equation by :
Using a calculator, we find:
So, the price of the ring before the tax was added is approximately .
The correct answer is:
B.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Bonus Knowledge

To find the price of the ring before the sales tax, you can use the formula:
In this case, the price with tax is and the sales tax rate is or .
So,
Rounding to the nearest cent, the price of the ring before tax was approximately , which corresponds to option C.
C.

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