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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?

Respuesta :

DavidOrrell
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:
[tex] \frac{110}{100} = 1.10[/tex]

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

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

Therefore the original price of a ticket was $175