Target: You need to understand what information you have and what you need to work out. Your teacher will give you some exam like questions and you will need to underline important words and then solve the questions. You will also show working out for each question and show checks of at least three calculations. You will submit your work by 27.03.2017. You must score at least 80%.

Activity

To encourage visitors to book tickets in advance, the theme park has introduced reduced prices for tickets booked online as shown below.

Theme Park Tickets

Main season

A. A group of 3 adults and 7 children aged 4 -11 years plan to visit the theme park.

Calculate how much the group would save in total by booking online rather than paying on the day, using the cheapest method in each case.

Marks available: 2

You must show your working:

Your answer:

B. To attract more visitors, the theme park plans to open before the start of the main season for the February half term.

The theme park wants the percentage saving when booking an adult ticket online for the February half term, to be the same as the percentage saving when booking an adult ticket online during the main season.

Theme Park Tickets
February Half Term
Ticket / On-the-day Price / Online Price
Adult / £18.00
Child (4-11 years) / £10.00 / £8.00
Disabled with helper / £8.50 / £6.80
Family of 4
(2 adults & 2 children, 4-11 years) / £56.00 / £36.40
Group
(10 or more) / Adults / Not available / £12.96
Children
(4-11 years) / £7.20

Calculate the online price of an adult ticket for the February half term.

Marks available: 2

You must show your working:

Your answer:

C. The theme park is planning an advert for the February half term opening:

Using the February half term ticket information provided, what percentage should be shown on the advert?

Marks available: 2

You must show your working:

Your answer:

D. The theme park believes that offering reduced prices for online booking will increase visitor numbers. The table below shows the impact of introducing online booking on ticket sales and costs.

Sales and costs for ‘On the day’ ticket sales only / Sales and costs for first week with online ticket sales
Attendance / 87,000 / Up 11%
Ticket prices / Average price £34.00 per person /
  • 60% at £34.00 per person
  • 40% online at 20% discount

Cost of ticket sales staff / 35 staff each paid £360 per week / Reduction of staff by 40%

Calculate the overall weekly loss or gain from the change in prices and the savings on wages.

Marks available: 5

You must show your working:

Your answer:

E. The theme park was correct in estimating that 40% of visitors book online. What other factor should they have considered before reducing ticket staff by 40%?

Mark available: 1

You must show your working:

Your answer:

F. Suggest two other factors that the manager of the theme park could consider when calculating the changes in weekly profit. Give reasons for your suggestions.

Marks Available 2

Your answer:

Total marks available: 14