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

Step-by-step 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*(5)/(6)=378.6`

now, to solve multiply both sides by 6/5

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

therefore, the original price is

$454.32

I hope this helps you