Pablo is buying a pair of sneakers that are on sale for 25% off the original price, p. After he uses a $25 gift card, the total cost before taxes is $61.25. What was the original price of the sneakers?

Respuesta :

Answer:

$115.

Step-by-step explanation:

We have been given that Pablo is buying a pair of sneakers that are on sale for 25% off the original price, p. After he uses a $25 gift card, the total cost before taxes is $61.25.    

Let p be the original price of sneakers.

The amount after discount would be sum of amount of gift card and total cost before taxes.

[tex]25+61.25=86.25[/tex]

We need to find p such that 75% of p equals to 86.25.        

[tex]\frac{75}{100}\times p=86.25[/tex]      

[tex]0.75 p=86.25[/tex]

[tex]p=\frac{61.25}{0.75}[/tex]

[tex]p=115[/tex]

Therefore, the original price of sneakers will be $115.