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Neal buys a board game. He pays for the board game and pays \$1.54$1.54dollar sign, 1, point, 54 in sales tax. The sales tax rate is 5.5\%5.5%5, point, 5, percent.

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altavistard
You provide info on the circumstances but do not provide instructions.  What are you looking for here?

Suppose the board game cost $25 before tax.

If the tax payable was $1.54, then the sales tax rate was r:
                                                     $1.54
$25r = $1.54.  Solving for r,   r = ---------- = 0.0616, or 6.16% 
                                                       $25

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