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.