Question

Airline companies raise and lower their ticket prices based on the supply and demand. Due to high numbers of fliers, one company decided to raise their ticket price for a first-class ticket to $192.50, which represents a 10% price increase.
How much did the first-class tickets cost before the price increase?

Answer 1

The raised price represents 110% of the original price (100% plus the extra 10%)

A percentage is converted into a decimal multiplier by dividing by 100:
$\frac{110}{100} = 1.10$

To clarify the final stage, consider this (where $n$ is the original price):
$n * 1.10 = 192.50$
$1.10n = 192.50$

From here, basic algebraic rules make solving for $n$ easy:
$n = \frac{192.50}{1.10} = 175$

Therefore the original price of a ticket was $175