Numeracy Foundation June 2025 Unit 2 Q7
7. 4 friends are planning a camping holiday for 5 nights at Maes Hyfryd.
| Maes Hyfryd Camping charges per night: £24.50 per tent per night AND a fee of £6 per person staying per night Special offer 22% off the fee per person when 4 people stay in the same tent |
The 4 friends cannot decide whether to:
- take two tents, so that 2 people sleep in each tent
or - take one tent that all 4 friends can share.
Calculate:
- the total charge for staying for 5 nights if the 4 friends use two tents
and - the saving made if the friends decide to use just one tent.
You must show all your working. [8]
| Scheme | Mark | Comments |
|---|---|---|
| Charge for stay in two tents for 5 nights (Two tents pitch fees =) 2 × 24.5(0) × 5 (= £245) + ( + ) (Cost 4 people for 5 nights =) 6 × 4 × 5 (= £120) OR (2 × 24.5(0) + 6 × 4) × 5 (= 73 × 5) | M2 | May be seen in stages Complete unspoilt method may be seen in stages M1 for any one of the following,
|
| (Total cost if taking 2 tents for 5 nights =) (£) 365 | A1 | CAO If M0 A0, award SC1 for a specific statement of any one of the following, with ‘tent : people’ appropriate ignore subsequent additional spurious costs:
|
| Discount with 1 tent for 4 friends and/or 5 nights Discount considered, any one of the following: (Discount for 4 p per night =) 0.22 × 6×4 (= £5.28) (Discount for 1 p 5 nights=) 0.22 × 6×5 (= £6.60) (Discount for 4 p 5 nights=) 0.22 × 6×5×4 (=£26.40) (Discounted cost for 4 p per nt =) 0.78 × 6×4 or 6×4 – 0.22 × 6×4 (= £18.72) (Discounted cost for 1 p 5 nights =) 0.78 × 6×5 or 6×5 – 0.22 × 6×5 (= £23.40) (Discounted cost for 4 p 5 nights =) 0.78 × 6×4×5 or 6×4×5 – 0.22 × 6×4×5 (= £93.60) | M2 | Accept equivalents and may be embedded in further working FT for all of the following for all method marks:
|
| Saving made if only 1 tent, 4 people, 5 nights 0.22 × 6 × 4 × 5 + 24.5(0) × 5 (= £26.40 + £122.50) or 365 – 0.78 × 6 × 4 × 5 – 24.5(0) × 5 (= £365 – £93.60 – £122.50 (= £365 – £216.10) | M2 | FT for all of the following for M2 or M1:
|
| Saving is (£)148.9(0) | A1 | CAO. Mark final answer Allow A1 for final saving (£)149, provided not from incorrect working (allow from £365 – £216) A0 for
|