Lucinda is buying a set of patio furniture that is on sale for 4/5 of the original price. After she uses a $50 gift certificate, cost before sales tax is $222. What was the original price of the patio furniture?

Answer: Hello there!

The information that we have is:

The price is 4/5 of the original price

Lucinda uses a $50 gift certificate

The cost is $222

Now the cost before using the gift certificate is: $222 + $50 = $272

And we know that $272 is the 4/5 of the original price, if X is the original price, we have:

(4/5) * X = $272

X = $272 * (5/4) = $340

The original price of the patio furniture is 340 dollars.