Question

a sign says that the price marked on all mysic equipment is 30% off the original price. You buy an electric guitar for the sale price of $315. b. How much money did you save off the original price of the guitar?

Answer 1

30% off the prices means that the there is a discount of 30% on the original price.

If 30% discount is given, then it means that the new cost price will be = 100% -30% the original price

=> 70% the original price

Since the Electric Guitar was sold at $315

Then it means that 70% the original price = $315

Let the original price be P

then 70% of P = $315

`\begin{gathered} 70percent=(70)/(100)\text{ = 0.7} \\ \end{gathered}`

70% of P = 0.7 x P = 0.7P

Question A.

We can then obtain P, the original price by equatin to $315

=> 0.7P = $315

To get P, divide both sides by the coefficient of P

`(0.7p)/(0.7)=(315)/(0.7)`

P = $450

Orignal Price of Guitar = $450

Question B

Amount saved = Original Price - Selling Price

Amount saved = $450 -$315

=> Amount saved = $135