Adam buys some theatre tickets in a sale - OCR - GCSE Maths - Question 8 - 2019 - Paper 5
Question 8
Adam buys some theatre tickets in a sale.
The normal prices are:
£80 for each adult
£40 for each child.
In the sale, the prices are reduced by 15%.
Adam buys 2 ad... show full transcript
Worked Solution & Example Answer:Adam buys some theatre tickets in a sale - OCR - GCSE Maths - Question 8 - 2019 - Paper 5
Step 1
Calculate the discounted price of each ticket
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Normal adult ticket price = £80
Discount = 15% of £80 = 0.15 * 80 = £12
Discounted price for adult ticket = £80 - £12 = £68
Normal child ticket price = £40
Discount = 15% of £40 = 0.15 * 40 = £6
Discounted price for child ticket = £40 - £6 = £34
Step 2
Calculate the total cost of the tickets without booking fee
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Total cost for 2 adult tickets = 2 * £68 = £136
Total cost for 1 child ticket = 1 * £34 = £34
Total cost for tickets = £136 + £34 = £170
Step 3
Calculate the booking fee
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Booking fee = 2% of £170 = 0.02 * 170 = £3.40
Step 4
Calculate the total amount that Adam must pay
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Total amount = Total cost of tickets + Booking fee = £170 + £3.40 = £173.40
