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:

`(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 = (192.50)/(1.10) = 175`

Therefore the original price of a ticket was $175