Question

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

Answer 1

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

`y\cdot(x)/(100)\text{.}`

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:

`D\cdot(85)/(100)=32.89.`

2) Multiplying the above equation by 100 we get:

`\begin{gathered} D\cdot(85)/(100)*100=32.89*100, \\ 85D=3289. \end{gathered}`

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

`\begin{gathered} (85D)/(85)=(3289)/(85), \\ D\approx38.69. \end{gathered}`

Answer: The regular price is $38.69