Question

After a 30% discount, an item was sold for $15,750. What was the original price of the item?

Answer 1

Explanation:

Hi there,

To get started, set up a relationship:

`x`⇒$15,750

We know some original price was reduced to 15,750. The discount is 30%, and discounts are done by taking that % of the original price off, or subtracted. So, you are taking a price and subtracting a certain percentage off:

`x-0.3x=0.7x` 30% is same as 0.3. In other words, the discounted price is 70% of the original value.

Now, let's set up an equation:

`0.7x=15,750` Divide both sides by 0.7 to isolate x:

`x=(15750)/(0.7) =22,500` The original price was $22,500.

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