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Casey buys a bracelet. She pays for the bracelet and pays 0.72insalestax.Thesalestaxrateis0.72 in sales tax. The sales tax rate is 66\%$. What is the original price of the bracelet, before tax?

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Q. Casey buys a bracelet. She pays for the bracelet and pays 0.72insalestax.Thesalestaxrateis0.72 in sales tax. The sales tax rate is 66\%$. What is the original price of the bracelet, before tax?
  1. Given Information: We have:\newlineSales tax paid: $0.72\$0.72\newlineSales tax rate: 6%6\% (which is 0.060.06 in decimal form)\newlineTo find the original price of the bracelet before tax, we need to calculate how much the sales tax is in relation to the original price.\newlineWe use the formula: Sales tax paid=Original price×Sales tax rate\text{Sales tax paid} = \text{Original price} \times \text{Sales tax rate}\newlineLet's rearrange the formula to solve for the Original price.\newlineOriginal price = Sales tax paidSales tax rate\frac{\text{Sales tax paid}}{\text{Sales tax rate}}
  2. Calculate Original Price: Now we plug in the values we have into the formula.\newlineOriginal price = $0.72/0.06\$0.72 / 0.06
  3. Plug in Values: Perform the calculation.\newlineOriginal price = $12.00\$12.00\newlineThis is the price of the bracelet before the sales tax was added.

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