the original price is $120
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
[tex]\begin{gathered} 80\text{ \% \lparen p\rparen= 96} \\ 0.8(p)\text{ = 96} \\ 0.8p\text{ = 96} \end{gathered}[/tex][tex]\begin{gathered} divide\text{ both sides by 0.8:} \\ p\text{ = }\frac{96}{0.8} \\ p\text{ = 120} \end{gathered}[/tex]Hence, the original price is $120
