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.
