Question

The custom-made Purple and Gold Omega Air Force Ones (a type of shoe), were onsale for 35% OFF the original price. The discounted price was $84.99, what was theoriginal price of the shoe? (3 pts)

Answer 1

$130.75

Step-by-step explanation

Let x be the original price of the shoe. The discounted price, y, is the original price minus the 35% of the original price,

`y=x-\mleft(x\cdot(35)/(100)\mright)`

To simplify for x, divide 35 by 100,

`y=x-x\cdot0.35`

And factor out x,

`y=x(1-0.35)=x\cdot0.65`

We know that the discounted price was $84.99,

`84.99=0.65x`

To find the original price, divide both sides by 0.65,

`x=(84.99)/(0.65)\approx130.75`

Hence, the original price of the shoe was $130.75.