Answered

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A wool suit, discounted by 75% for a clearance sale, has a price tag of $165. What was the suit's original price?

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Answer:

$1,100

Step-by-step explanation:

Since we that 75% less than the original price, or 15% of the original price*, is equal to $165, we can set up an equation like this, where [tex]x[/tex] represents the original price:

[tex].15x=165[/tex]

Now, just solve for [tex]x[/tex] by dividing both sides by .15, the equivalent of 15%:

[tex]x=\frac{165}{.15}\\x=1100[/tex]

Therefore, the original price of the suit was $1,100.

*The reason that we use .15 instead of .75 is that when something is on sale with 75% of the original price cut off, 15% of the original price remains. That's why [tex].15x=165[/tex].

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