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Neal buys a board game. He pays for the board game and pays 
$1.54 in sales tax. The sales tax rate is 
5.5%.
What is the original price of the board game, before tax?

$

Neal buys a board game. He pays for the board game and pays $1.54 \$ 1.54 in sales tax. The sales tax rate is 5.5% 5.5 \% .\newlineWhat is the original price of the board game, before tax?\newline$ \$

Full solution

Q. Neal buys a board game. He pays for the board game and pays $1.54 \$ 1.54 in sales tax. The sales tax rate is 5.5% 5.5 \% .\newlineWhat is the original price of the board game, before tax?\newline$ \$
  1. Given Information: We have:\newlineSales tax paid: $1.54\$1.54\newlineSales tax rate: 5.5%5.5\%\newlineTo find the original price of the board game before tax, we need to calculate how much the sales tax represents of the original price.\newlineWe use the formula: Sales tax paid = Original price * Sales tax rate\newlineLet's denote the original price as PP.\newlineSo, we have: 1.54=P×5.51001.54 = P \times \frac{5.5}{100}
  2. Calculate Original Price: To find the original price PP, we need to isolate PP in the equation.\newlineWe do this by dividing both sides of the equation by the sales tax rate.\newlineP=1.54(5.5/100)P = \frac{1.54}{(5.5/100)}
  3. Isolate Original Price: Now we perform the division to find PP. \newlineP=1.540.055P = \frac{1.54}{0.055}\newlineP=$(28.00)P = \$(28.00)

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