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Pamela bought a drill at 85% of the regular price.She paid 32.89$ for the drillWhat was the regular price?

Sagot :

Recall that the x% of y is given by the following expression:

[tex]y\cdot\frac{x}{100}\text{.}[/tex]

1) Let D be the regular price (in dollars) of the drill. Since Pamela bought the drill at 85% of the regular price, and she paid $32.89 for the drill, then we can set the following equation:

[tex]D\cdot\frac{85}{100}=32.89.[/tex]

2) Multiplying the above equation by 100 we get:

[tex]\begin{gathered} D\cdot\frac{85}{100}\times100=32.89\times100, \\ 85D=3289. \end{gathered}[/tex]

3) Finally, dividing the above equation by 85 we get:

[tex]\begin{gathered} \frac{85D}{85}=\frac{3289}{85}, \\ D\approx38.69. \end{gathered}[/tex]

Answer: The regular price is $38.69

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