Foundation June 2019 Paper 1 Q17
17. Huw is paid a weekly wage.
Every week he:
- saves \(\frac{1}{5}\) of his wage,
- spends 70% of the money he has left on his living expenses,
- spends all that remains on his social life.
(a)
One week, Huw saves £40.
How much does Huw spend on his social life? [3]
(b) What percentage of his weekly wage does Huw spend on his social life? [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(40 \times 5 - 40\) or \(40 \times 4\) (=160) | M1 | |
| 160 × 0.3 or 160 – 160 × 0.7 oe | M1 | FT ‘their 40 × 5 – 40’ or ‘their 40 × 4’ |
| (£) 48 | A1 | CAO; implies M1 M1 If no marks then SC1 for an answer of (£)20 or for an answer of (£)9.6(0) |
Alternative
Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| (social life = ) 0.3 × 0.8 = 24% | M1 | |
| 20% is (£)40 4% is (£)8 | M1 | |
| (£) 48 | A1 | CAO; implies M1 M1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{48}{200}\,(\times 100)\) or 0.3 × 0.8 | M1 | FT \(\dfrac{\text{‘their 48’}}{\text{‘their 200’}}\,(\times 100)\) provided of equivalent difficulty |
| 24(%) | A1 | FT |
| (5) |