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Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?

Casey buys a bracelet. She pays for the bracelet and pays $0.72 \$ 0.72 in sales tax. The sales tax rate is 6% 6 \% .\newlineWhat is the original price of the bracelet, before tax?

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Full solution

Q. Casey buys a bracelet. She pays for the bracelet and pays $0.72 \$ 0.72 in sales tax. The sales tax rate is 6% 6 \% .\newlineWhat 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\%\newlineTo find the original price of the bracelet before tax, we need to calculate how much the sales tax represents of the original price.\newlineWe use the formula: Sales tax paid = Original price ∗* Sales tax rate\newlineLet's denote the original price as PP.\newlineSo, we have: $0.72=P×6100\$0.72 = P \times \frac{6}{100}
  2. Calculate Sales Tax: To find the original price PP, we need to isolate PP in the equation.\newlineWe do this by dividing both sides of the equation by the sales tax rate.\newlineP=$0.72/(6100)P = \$0.72 / (\frac{6}{100})
  3. Isolate Original Price: Now we perform the division to find PP. \newlineP=extextdollar0.720.06P = \frac{ ext{ extdollar}0.72}{0.06}\newlineP=extextdollar12.00P = ext{ extdollar}12.00\newlineThis is the original price of the bracelet before tax.

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