after the advance-purchase deadline passes, the cost of attending a particular event is $167.52, which is…

after the advance-purchase deadline passes, the cost of attending a particular event is $167.52, which is 39.6% more than before. what is the advance-purchase price? $

after the advance-purchase deadline passes, the cost of attending a particular event is $167.52, which is 39.6% more than before. what is the advance-purchase price? $

Answer

Explanation:

Step1: Define variable for advance price

Let $x$ = advance-purchase price.

Step2: Set up percentage increase equation

The post-deadline price is 39.6% more than $x$, so: $$x + 0.396x = 167.52$$

Step3: Combine like terms

$$1.396x = 167.52$$

Step4: Solve for $x$

$$x = \frac{167.52}{1.396}$$

Answer:

$120$