A student is buying some gifts for their friends - OCR - GCSE Maths - Question 14 - 2023 - Paper 2

Calculate the cost of key rings and wallets:

• Cost of 1 key ring = £3.50

• Cost of 6 key rings = $6 imes £3.50 = £21.00$

• Cost of 1 wallet = £7.50

• Cost of 2 wallets = $2 imes £7.50 = £15.00$

• Total cost = £21.00 + £15.00 = £36.00.

Determine the remaining budget for badges:

• Total budget = £50.00
• Remaining budget = £50.00 - £36.00 = £14.00.

Calculate the number of badges that can be bought:

• Cost of 1 badge = £2.99.

• Number of badges = ( \left\lfloor \frac{£14.00}{£2.99} \right\rfloor \approx 4.68 \Rightarrow 4 \ ext{badges}. )

• Therefore, the maximum number of badges that can be bought is 4 badges.