Respuesta :
Answer:
$25.
Step-by-step explanation:
Let x be the original price of shorts.
We have been given that a store is having a sale in which all items are reduced 20%. The sales tax is 5%.
The price of shorts after 20% off will be:
[tex]\text{ Price of shorts after discount}=x-\frac{20}{100}x[/tex]
[tex]\text{ Price of shorts after discount}=x-0.2x[/tex]
[tex]\text{ Price of shorts after discount}=0.8x[/tex]
Since tax is added after the discount, so the price of shorts after including the tax will be:
[tex]0.8x+(\frac{5}{100}\times 0.8x)[/tex]
We are told that including tax, Jennifer paid $21 for a pair of shorts. So we can set an equation as:
[tex]0.8x+(\frac{5}{100}\times 0.8x)=21[/tex]
Now let us solve for x.
[tex]0.8x+(0.05\times 0.8x)=21[/tex]
[tex]0.8x+0.04x=21[/tex]
[tex]0.84x=21[/tex]
[tex]\frac{0.84x}{0.84}=\frac{21}{0.84}[/tex]
[tex]x=\frac{21}{0.84}[/tex]
[tex]x=25[/tex]
Therefore, the original price of shorts was $25.
