KenishaF423649 KenishaF423649
  • 25-10-2022
  • Mathematics
contestada

Kim bought a pair of shoes on sale for 39.60. The sale price was 45% of the original price. What was the original price of the shoes in dollars

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VydiaA747526 VydiaA747526
  • 25-10-2022

If the price of $39.60 corresponds to 45% of the original price, we can use the following rule of three to find the price that corresponds to 100% of the original price:

[tex]\begin{gathered} \text{price}\to percentage \\ 39.6\to45\% \\ x\to100\% \end{gathered}[/tex]

Now, we can write the following proportion and solve it for x:

[tex]\begin{gathered} \frac{39.6}{x}=\frac{45}{100} \\ x\cdot45=39.6\cdot100 \\ x=\frac{39.6\cdot100}{45} \\ x=88 \end{gathered}[/tex]

Therefore the original price was $88.

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