Sav7860 Sav7860
  • 14-03-2022
  • Mathematics
contestada

I bought a sweater for 25% off and paid $30. What was the *original* price? Please explain.

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jdoe0001 jdoe0001
  • 14-03-2022

well, the original price was "x", which oddly enough is the 100%, we also know that 25% off that is 30 bucks, so namely 100% - 25% = 75%, is 30 bucks, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 30&75 \end{array}\implies \cfrac{x}{30}=\cfrac{100}{75}\implies \cfrac{x}{30}=\cfrac{4}{3} \\\\\\ 3x=120\implies x=\cfrac{120}{3}\implies x=40[/tex]

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