Foundation June 2023 Paper 2R Q17
17 Sandeep wants to buy some packets of pens and some boxes of pencils for his stationery shop.
Each packet of pens contains 9 pens.
Each box of pencils contains 12 pencils.
Each packet of pens costs £7.60
Each box of pencils costs £4.80
Sandeep can only buy full packets of pens and full boxes of pencils.
He wants to buy exactly the same number of pens as pencils.
Work out the minimum amount Sandeep needs to pay.
(4)
| Scheme | Marks |
|---|---|
| 9, 18, 27, 36 and 12, 24, 36 or 36 or a multiple of 36 or (9 × 12 =) 108 or \(3^2\) × 4 (= 36) (from Venn diagram or table) | M1 |
| “4” × 7.6(0) or “3” × 4.8(0) or “30.4” or “14.4” or “\(4n\)” × 7.6(0) or “\(3n\)” × 4.8(0) | M1 |
| “4” × 7.6(0) + “3” × 4.8(0) or “30.4” + “14.4” or “\(4n\)” × 7.6(0) + “\(3n\)” × 4.8(0) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 44.8(0) | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for at least two multiples of 9 and 12
or
36
or
a multiple of 36
M1: for a correct method to find the cost of 4 or 8 or 12 etc of packets of pens
or 3 or 6 or 9 etc packets of pencils
M1: for a correct combination of number of packets of pens × 7.6(0) + number of packets of pencils × 4.8(0) with an intention to add, eg
| pens | pencils | |
|---|---|---|
| 4 × 7.60 + | 3 × 4.8 = | 44.8(0) |
| 8 × 7.60 + | 6 × 4.8 = | 89.6(0) |
| 12 × 7.60 + | 9 × 4.8 = | 134.4(0) |
| 16 × 7.60 + | 12 × 4.8 = | 179.2(0) |
| 36 × 7.60 + | 27 × 4.8 = | 403.2(0) |
| 48 × 7.60 + | 36 × 4.8 = | 537.6(0) |
A1: allow 45 if 44.8(0) seen
allow 4480 p or pence if £ sign crossed out
M3A0 for \(44.8n\) where \(n\) is an integer (eg 134.4(0))