# need help on how to figure this out.

by Jeremy
(Altoona, pa, US)

If an item is 66% off and totals at \$6.46, how much was the item to start with?

### Comments for need help on how to figure this out.

 Jun 22, 2010 Percent Discounts by: Staff The question: If an item is 66% off and totals at \$6.46, how much was the item to start with? The answer: Begin with the equation: Discounted Price = Original Price – Discount Summarize the information you have: Discounted Price (the price you pay after the discount) = \$6.46 Original Price (unknown) = “x” Discount = 66% off the original price (the original price is unknown, and is called “x”) = 0.66x (note: convert 66% to the decimal 0.66 ) Substitute the values you know into the original equation: Discounted Price = Original Price – Discount 6.46 = x - .66x Solve the equation for “x” 6.46 = x - .66x Step 1, subtract .66x from x 6.46 = .34x Step 2, divide each side of the equation by .34 6.46/.34 = .34x/.34 The final answer is: 19 = x The original price of the item in question was \$19.00 Thanks for writing. Staff www.solving-math-problems.com