Adam buys some theatre tickets in a sale - OCR - GCSE Maths - Question 18 - 2019 - Paper 2
Question 18
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 18 - 2019 - Paper 2
Step 1
Calculate the Sale Price for Adult Tickets
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Answer
The normal price for an adult ticket is £80. After a 15% discount, the sale price becomes:
SalePrice=80−(0.15×80)=80−12=£68
Step 2
Calculate the Sale Price for the Child Ticket
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Answer
The normal price for a child ticket is £40. After a 15% discount, the sale price becomes:
SalePrice=40−(0.15×40)=40−6=£34
Step 3
Calculate the Total Ticket Cost
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Answer
Adam buys 2 adult tickets and 1 child ticket. So the total cost before fees is:
Total=(2×68)+(1×34)=136+34=£170
Step 4
Calculate the Booking Fee
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A 2% booking fee is added to the total cost:
BookingFee=0.02×170=£3.40
Step 5
Calculate the Final Amount to Pay
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Answer
Adding the booking fee to the total ticket cost gives:
