A theme park charges the ticket prices shown in the table below. A group of 2 adults and 3 children wants to visit the park together on the same day. Ticket...
Question 1 Report
A theme park charges the ticket prices shown in the table below. A group of 2 adults and 3 children wants to visit the park together on the same day.
| Ticket | Price |
|---|---|
| Adult | £14 |
| Child | £8 |
| Family (2 adults, 2 children) | £40 |
- The group buys 2 adult tickets and 3 child tickets separately. Work out the total cost. (2)
- The group could instead buy 1 family ticket and 1 extra child ticket. Work out how much this would save compared to buying the tickets separately in part (a). (2)
Answer Details
This question tests whether individual ticket prices or a combined family price gives the lower total cost, so both totals must be calculated and then compared.
(a) Buying 2 adult and 3 child tickets separately:
\[ (2 \times £14) + (3 \times £8) = £28 + £24 = £52 \][2]
(b) Buying 1 family ticket (covering 2 adults and 2 children) plus 1 extra child ticket:
\[ £40 + £8 = £48 \]The saving compared with part (a) is:
\[ £52 - £48 = £4 \][2]
With combined ticket offers, always check exactly what the offer covers, here 2 adults and 2 children, so that the extra tickets needed to cover the whole group are added on correctly.
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