Foundation June 2018 Paper 1 Q14
14.
(a)
A garden centre sells packets of flower bulbs.
| Bluebell Bulbs £6 per packet | Daffodil Bulbs £5 per packet | Tulip Bulbs £10 per packet |
One day, the garden centre sells:
- \(x\) packets of bluebell bulbs
- twice as many packets of daffodil bulbs as bluebell bulbs
- five times as many packets of tulip bulbs as bluebell bulbs.
In total, 320 packets of bulbs are sold.
How much money does the garden centre take from selling these bulbs? [5]
(b)
Anna and Tom work part-time at the garden centre.
The number of hours they each work is in the ratio 3 : 5.
Tom works for 25 hours each week.
(i) Work out the total number of hours Anna and Tom work each week. [2]
(ii)
Anna earns £156 each week.
How much does Anna earn per hour? [2]
(iii)
Tom gets a pay increase of £1 per hour.
His hours remain the same and he now earns £175 per week.
How much did Tom earn per hour before his pay increase? [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(x + 2x + 5x\ (= 8x)\) | M1 | Allow for sight of 1 + 2 + 5 (= 8) or 1 : 2 : 5 or equivalent or for 3 numbers of bulbs in the ratio 1 : 2 : 5 or for sight of \(x\), \(2x\), \(5x\) |
| 320 ÷ 8 seen or implied | M1 | FT ‘their 1 + 2 + 5’; may be implied by trials leading to e.g. 40 : 80 : 200 |
| (\(x\) =) 40 seen or implied | A1 | CAO May be implied in later working. |
| 40 × 6 + 2 × 40 × 5 + 5 × 40 × 10 (40 × 6 + 80 × 5 + 200 × 10 = 240 + 400 + 2000 ) | M1 | FT ‘their derived \(x\)’ May be seen in stages. |
| (£) 2640 | A1 | FT ‘their derived \(x\)’ × 66 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(25 + \dfrac{25}{5} \times 3\) (= 25 + 15) or \(\dfrac{25}{5} \times 8\) (= 5 × 8) | M1 | |
| 40 (hours) | A1 | If no marks awarded, allow SC1 for sight of 15 (hours) |
| (ii) 156 ÷ 15 | M1 | FT ‘their (40 – 25)’, provided ‘their 15’ ≥ 11 |
| (£) 10.4(0) | A1 | FT; any FT values must be rounded or truncated to 2 dp |
| (iii) \(\dfrac{175}{25} - 1\) or \(\dfrac{175 - 25}{25}\) | M1 | May be in steps |
| (£) 6 | A1 | |
| (11) |