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Adam buys some theatre tickets in a sale - OCR - GCSE Maths - Question 18 - 2019 - Paper 2

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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 a... 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. With a 15% discount, the sale price is calculated as:

Sale price = Normal price - (15% of Normal price)

Sale price = £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. With a 15% discount, the sale price is:

Sale price = Normal price - (15% of Normal price)

Sale price = £40 - (0.15 × £40) = £40 - £6 = £34.

Step 3

Calculate the total cost of 2 adult tickets and 1 child ticket

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Answer

The total cost can be calculated as:

Total cost = (2 × Sale price of adult tickets) + (1 × Sale price of child ticket)

Total cost = (2 × £68) + (1 × £34) = £136 + £34 = £170.

Step 4

Calculate the total amount after the booking fee

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Answer

A 2% booking fee is added to the total cost. Therefore, the amount for the booking fee is:

Booking fee = 2% of Total cost = 0.02 × £170 = £3.40.

Thus, the final amount that Adam must pay is:

Final amount = Total cost + Booking fee = £170 + £3.40 = £173.40.

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