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The normal price of a Railcard is [tex]£30[/tex].

\begin{tabular}{|c|}
\hline
Railcard offer \\
12\% off the normal price of a Railcard \\
\end{tabular}

Dan buys a Railcard using the offer. He then buys a train ticket to York. A ticket to York normally costs [tex]£84[/tex]. Using his Railcard, Dan gets [tex]\frac{1}{3}[/tex] off the cost of the ticket.

Work out the total cost of the Railcard and the ticket to York.



Answer :

GinnyAnswer
To determine the total cost of the Railcard and the ticket to York, we should follow these steps:

1. Calculate the discounted price of the Railcard:
- The normal price of the Railcard is £30.
- There is a 12% discount on the Railcard.

First, calculate 12% of the normal price:
[tex]\[ 12\% \text{ of } £30 = 0.12 \times 30 = £3.6 \][/tex]

Next, subtract this discount from the normal price to get the discounted price:
[tex]\[ £30 - £3.6 = £26.4 \][/tex]

So, the discounted price of the Railcard is £26.4.

2. Calculate the discounted price of the ticket to York:
- The normal price of the ticket to York is £84.
- Using the Railcard, Dan gets 1/3 off the cost of the ticket.

First, calculate 1/3 of the normal price:
[tex]\[ \frac{1}{3} \text{ of } £84 = \frac{1}{3} \times 84 = £28 \][/tex]

Next, subtract this discount from the normal price to get the discounted price:
[tex]\[ £84 - £28 = £56 \][/tex]

So, the discounted price of the ticket to York is £56.

3. Calculate the total cost:
Add the discounted price of the Railcard and the discounted price of the ticket:
[tex]\[ £26.4 + £56 = £82.4 \][/tex]

Thus, the total cost of the Railcard and the ticket to York is £82.4.

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