Question

A headphone was sold during a sale for $378.60. what is the regular selling price if the price of the headphone was reduced by 5/6.

Answer 1

$454.32

Explanation

given

$\begin{gathered} sale\text{ price =378.60} \\ original\text{ price reduced by 5/6} \end{gathered}$

Step 1

a) let x represent the original price

so, if the original price was reduced by 5/6 to obtain $378.6 we can set an equation:

$x*\frac{5}{6}=378.6$

now, to solve multiply both sides by 6/5

$\begin{gathered} x*\frac{5}{6}*\frac{6}{5}=378.6*\frac{6}{5} \\ x(\frac{1}{1})=454.32 \\ x=454.32 \end{gathered}$

therefore, the original price is

$454.32

I hope this helps you