Question

The Utopian Nail Salon is offering 10% total on manicure and pedicure services as well as hair cuts. Your bill comes to 125.00. Find the discount and the cost before taxes.

Answer 1

`\begin{gathered} Discount=\$13.89 \\ Cost=\$138.89 \end{gathered}`

Step-by-step explanation

The salon is offering a discount of 10% on manicures and pedicures.

Let the cost of the manicure and pedicure before tax be x.

This means that the total bill is the difference between the cost and the discount i.e. 10% of the cost.

Therefore, we have that the equation representing this is:

`x-((10)/(100)\cdot x)=125`

Solve for x in the equation above:

`\begin{gathered} x-0.1x=125 \\ \Rightarrow0.9x=125 \\ \Rightarrow x=(125)/(0.9) \\ x=\$138.89 \end{gathered}`

That is the cost before taxes.

To find the discount, find the difference between the cost and the bill:

`\begin{gathered} \$(138.89-125) \\ \Rightarrow\$13.89 \end{gathered}`

That is the discount.