Question 74212
Let p=original price. If you buy a product that's 20% off, you're buying it with 20 percent of that price subtracted from that price. For instance, if an item is originally priced at $100 and it has a 10% discount you pay 10% less than $100. Or in other words 100-10%(100)=100-.1(100=100-10=90. So you would pay $90 instead of $100. The same idea applies here, but we don't know the original price, so we let that be our unknown.
{{{180=p-.2p}}}Subtract like terms
{{{180=.8p}}}Divide both sides by .8
{{{180/.8=p}}}
{{{p=225}}}
So the original price was $225
<p>
Check:
$225-20% of 225=225-.2(225)=225-45=180 So our answer checks out.