Photo AI
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) £14 Child ... 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 for the family visiting the zoo in winter, we need to determine the cost of tickets for two adults and two children.
-
Cost of Adult tickets:
- Number of adults: 2
- Price per adult: £18
- Total for adults: 2 x £18 = £36
-
Cost of Child tickets:
-
Number of children aged 8: 1
-
Price for a child (aged 3 to 17): £14
-
Total for child aged 8: 1 x £14 = £14
-
Number of children aged 1: 1
-
Price for a child (aged below 3): Free
-
Total for child aged 1: 0
-
-
Total Cost Calculation:
- Total cost = Total for adults + Total for child aged 8 + Total for child aged 1
- Total cost = £36 + £14 + £0 = £50
Thus, the total cost of the tickets for the family visiting the zoo in winter 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 costs to visit the zoo in the summer, we will calculate the new prices for both adult and child tickets after the increase.
-
New Adult Ticket Price:
- Original price: £18
- Increase: 20% of £18 = 0.2 × £18 = £3.60
- New price: £18 + £3.60 = £21.60
-
New Child Ticket Price:
- Original price: £14
- Increase: 15% of £14 = 0.15 × £14 = £2.10
- New price: £14 + £2.10 = £16.10
-
Total Summer Cost Calculation:
- Total for adults in summer: 2 × £21.60 = £43.20
- Total for child aged 8 in summer: £16.10
- Total for child aged 1 in summer: Free
- Total summer cost = £43.20 + £16.10 + £0 = £59.30
-
Cost Increase Calculation:
- The difference in cost between summer and winter = Total summer cost - Total winter cost
- Difference = £59.30 - £50 = £9.30
Therefore, it costs the family £9.30 more to visit the zoo in the summer than in the winter.