We want to find the original price of the telescope. To do so, we will use the percent equation.
part = percent * whole
We are given that the sale price of the telescope is $ 126. This price represents a 30 % discount from the original price. This means that the sale price is 100 % -30 % or 70 % of the original price. Let p represent the original price.
$ 126 = 70 % * p
Before solving the equation that we got, let's write the percent as a decimal. We can do this by ignoring the percent symbol and moving the decimal point two places to the left.
We got that 70 % is equal to 0.70 or 0.7.
$ 126 = 70 % * p [0.3em] ⇓ [0.3em]
$ 126 = 0.7 * p
Finally, we will solve the equation for p. To do so, we will use the Division Property of Equality. To make the math easier, let's ignore the dollar unit for now.
