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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)

Respuesta :

ANSWER

$130.75

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,

[tex]y=x-\mleft(x\cdot\frac{35}{100}\mright)[/tex]

To simplify for x, divide 35 by 100,

[tex]y=x-x\cdot0.35[/tex]

And factor out x,

[tex]y=x(1-0.35)=x\cdot0.65[/tex]

We know that the discounted price was $84.99,

[tex]84.99=0.65x[/tex]

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

[tex]x=\frac{84.99}{0.65}\approx130.75[/tex]

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

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