Let's work through the solution step-by-step to determine the percentage discount offered with the family ticket option for Disneyland Paris Resort.
1. Determine the standard total cost without the family ticket:
- Price of an adult ticket: £55
- Price of a children's ticket: £45
- Number of adults in the family ticket: 2
- Number of children in the family ticket: 2
The total cost if buying individual tickets for 2 adults and 2 children would be:
[tex]\[
\text{Total Individual Cost} = (2 \text{ adults} \times £55) + (2 \text{ children} \times £45)
\][/tex]
Calculating this:
[tex]\[
(2 \times 55) + (2 \times 45) = 110 + 90 = £200
\][/tex]
2. Calculate the total cost with the family ticket:
- Family ticket price: £170
3. Compute the discount amount received:
[tex]\[
\text{Discount Amount} = \text{Total Individual Cost} - \text{Family Ticket Price}
\][/tex]
Calculating this:
[tex]\[
£200 - £170 = £30
\][/tex]
4. Determine the percentage discount:
[tex]\[
\text{Percentage Discount} = \left( \frac{\text{Discount Amount}}{\text{Total Individual Cost}} \right) \times 100
\][/tex]
Calculating this:
[tex]\[
\left( \frac{£30}{£200} \right) \times 100 = 0.15 \times 100 = 15\%
\][/tex]
Therefore, the percentage discount offered with the family ticket option is [tex]\( 15\% \)[/tex].
