Question

Step by step: a pair of shoes is on sale for $96. If the shoes are on sale for 20% off, what was the original price?

Answer 1

Answer:

the original price is $120

Step-by-step explanation:

Given:

The cost of a pair of shoes on sale = $96

The pair of shoes on sale is 20% off

To find:

the original price

let the original price = p

20% off the original price means $96 is 80% of the original price

20% is the discount on the pair of shoes

`\begin{gathered} 80\text{ \% \lparen p\rparen= 96} \\ 0.8(p)\text{ = 96} \\ 0.8p\text{ = 96} \end{gathered}`
`\begin{gathered} divide\text{ both sides by 0.8:} \\ p\text{ = }(96)/(0.8) \\ p\text{ = 120} \end{gathered}`

Hence, the original price is $120