Question

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

Answer 1

Answer:

Step-by-step 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:

$x=\frac{15750}{0.7} =22,500$  The original price was $22,500.

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