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This table shows the ticket price for each person to visit a zoo in winter - OCR - GCSE Maths - Question 8 - 2018 - Paper 1
Question 8
This table shows the ticket price for each person to visit a zoo in winter. Type of ticket Ticket price Adult (aged 18 and over) £18 Child (aged 3 to 17) £1... show full transcript
Worked Solution & Example Answer:This table shows the ticket price for each person to visit a zoo in winter - OCR - GCSE Maths - Question 8 - 2018 - Paper 1
Step 1
What is the total cost of the tickets?
Answer
To calculate the total cost of the tickets for the family visiting the zoo in winter:
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Identify the tickets needed:
- 2 Adult tickets (for two adults)
- 1 Child ticket (for the child aged 8)
- 1 Child ticket (child aged 1, who is free)
-
Calculate the costs:
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Cost of 2 Adult tickets:
Total cost = 2 × £18 = £36
-
Cost of 1 Child ticket (aged 8):
Total cost = 1 × £14 = £14
- Cost of 1 Child ticket (aged 1): Free
-
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Add the costs together:
Total cost = £36 + £14 + £0 = £50
Therefore, the total cost of the tickets is £50.
Step 2
How much more does it cost the family to visit in the summer than in the winter?
Answer
To find out how much more it will cost in summer:
-
Calculate the summer prices:
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Adult ticket increases by 20%:
New price = £18 + (20/100) × £18 = £18 + £3.60 = £21.60
-
Child ticket increases by 15%:
New price = £14 + (15/100) × £14 = £14 + £2.10 = £16.10
- Child (aged 1) remains free.
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Calculate the total summer cost:
-
Cost of 2 Adult tickets:
Total cost = 2 × £21.60 = £43.20
-
Cost of 1 Child ticket (aged 8):
Total cost = 1 × £16.10 = £16.10
- Cost of 1 Child ticket (aged 1): Free
-
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Add the costs together for summer:
Total summer cost = £43.20 + £16.10 + £0 = £59.30
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Find the difference in cost between summer and winter:
Difference = Total summer cost - Total winter cost = £59.30 - £50 = £9.30
Therefore, it costs the family £9.30 more to visit in the summer than in the winter.