The discounted price of a book is 85% of the original price. This is a savings of $3. A sales tax of 8% will be added to the discounted price. What is the original price? the discounted price? and the tax?

who else is in grade 6 and cheating on math hw?

0.15x = 3

x = 3/0.15

x = 20 >> original price

17 * 0.08 = _______ tax

THANK YOU!!

You're welcome.

$1.36

I still don't get it.

To find the original price, discounted price, and tax, we can follow these steps:

Step 1: Calculate the amount of savings.
Given that the savings is $3, we can use this information to find the discounted price.

Discounted price = Original price - Savings
Discounted price = Original price - $3

Step 2: Calculate the discounted price.
Given that the discounted price is 85% of the original price, we can set up the equation:

Discounted price = 85% of the original price
Discounted price = 0.85 * Original price

Since we found the relationship between the discounted price and the original price in Step 1, we can substitute it into this equation:

Original price - $3 = 0.85 * Original price

Step 3: Solve the equation for the original price.
To find the original price, we need to solve the equation we set up in Step 2. Let's do that now:

Original price - $3 = 0.85 * Original price

Expanding this equation, we have:
Original price - 0.85 * Original price = $3

Simplifying further:
0.15 * Original price = $3

Finally, divide both sides by 0.15 to isolate the Original price:
Original price = $3 / 0.15

Calculating this, the Original price comes out to be $20.

Step 4: Calculate the discounted price.
Now that we have the Original price, we can substitute it into the relationship we found in Step 1:

Discounted price = Original price - $3
Discounted price = $20 - $3

Calculating this, the discounted price comes out to be $17.

Step 5: Calculate the tax.
Given that the sales tax is 8% of the discounted price, we can set up the equation:

Tax = 8% of the discounted price
Tax = 0.08 * discounted price

Substituting the value we found for the discounted price in Step 4:
Tax = 0.08 * $17

Calculating this, the tax comes out to be $1.36.

Summary:
The original price is $20, the discounted price is $17, and the tax is $1.36.