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A store has a 40\%40%40, percent off sale on headphones. With this discount, the price of one pair of headphones is \$36$36dollar sign, 36. What is the original price of the pair of headphones?

Answer :

calculista
Let 
X=the original price of the pair of headphones
then 
if the % off sale is 40--------------- > (1-0.40)*X=$36
x=36/0.60=60

the answer is 
the original price of the pair of headphones was $60

Let x be the original price of headphones.

Since there is 40% off, the price after discount will be 60% of x. So we can set this information as:

[tex]60 \text { percent of x} =36[/tex]

[tex]\frac{60}{100} \cdot x=36[/tex]

[tex] x=36\cdot\frac{100}{60} [/tex]

[tex] x=36\cdot\frac{10}{6} [/tex]

[tex] x=6\cdot10=60[/tex]

Therefore, original price of headphones is $60.

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