Question

When Olivia uses a rail card, the full price of a ticket is reduced by 1/3

She uses her rail card and pays £27 for a ticket.
Work out the full price of a ticket.

Answer 1

Let the full price of ticket is 1. When Olivia uses a rail card, the full price of a ticket is reduced by 1/3, then she pays

`1 - (1)/(3) = (2)/(3) \\`

of full price

Now we can find full price of ticket

`27 / (2)/(3) = 27 * (3)/(2) = 40.5 \\`

Answer: the full price of ticket is £40.5