|
Question 230810: The sale price of a radio is 30% below the original price of the radio, but a 7% sales tax is added to the sale price. Rob’s total bill for his radio came to $97.54. What was the original price of the radio Rob bought on sale?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! sale price = .7 * original price.
7% tax is added to the sale price.
total bill came to $97.54
This means that .7 * original price + .07 * .7 * original price = 97.54
let x = original price.
this formula becomes:
.7*x + .07*.7*x = $97.54
factor out the x to get:
(.7 + .07*.7) * x = $97.54
simplify and combine like terms to get:
.749 * x = $97.54
divide both sides of equation by .749 to get:
x = 97.54 / .749
simplify to get:
x = 130.2269693
original price of the radio is $130.2269693
this is not an even number, but it works.
take 30% off that to get a sale price of $91.1588785
Add 7% sales tax to that to get a total bill of $97.54
Normally these types of problems will get you an even number for the original price but this one doesn't.
Despite that, the method looks good and so I believe this must be the answer you are looking for.
|
|
|
| |
