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b = juice bottle price
[tex]\stackrel{\textit{one bag of popcorn}}{3.47} + \stackrel{\textit{10 juice bottles}}{10b} = \stackrel{\textit{before tax}}{23.47} \\\\\\ 10b = 23.47-3.47\implies 10b = 20\implies b=\cfrac{20}{10}\implies \stackrel{\textit{two bucks}}{b = 2}[/tex]