Foundation June 2019 Unit 2 Q15
15. 18% of £256 is shared in the ratio 2 : 1.
Calculate the value of the larger share.
Give your answer to the nearest 10p.
You must show all your working. [5]
| Scheme | Marks | Comments |
|---|---|---|
| (18% of £256 =) 0·18 × 256 | M1 | |
| = (£)46.08 | A1 | Allow (£)46.10 |
| (Larger share =) \(\dfrac{2 \times 46{\cdot}08}{3}\) | M1 | FT ‘their stated 18%’. |
| = (£)30.72 | A1 | If M0 allow SC1 for sight of (£)15.36 |
| (To the nearest 10p =) (£)30.7(0) | B1 | FT ‘their larger share’ (not ‘their 18%’) and only if rounding required. |
Alternative method 1
| Scheme | Marks | Comments |
|---|---|---|
| (Larger share of £256 =) \(\dfrac{2 \times 256}{3}\) | M1 | |
| =(£)170.66(..) | A1 | Allow (£)170.70 If M0 allow SC1 for sight of (£)85.33. |
| (18% of £170.66 =) 0·18 × 170.66 | M1 | FT ‘their stated larger share’. |
| = (£)30.72 | A1 | |
| (To the nearest 10p =) (£)30.7(0) | B1 | FT ‘their 18%’ (not ‘their larger share’) and only if rounding required. |
Alternative method 2
| Scheme | Marks | Comments |
|---|---|---|
| (Larger share of 18% =) \(\dfrac{2 \times 18}{3}\) | M1 | |
| = 12(%) | A1 | If M0 allow SC1 for sight of 6(%). |
| (12% of £256 =) 0·12 × 256 | M1 | FT ‘their derived larger %’. |
| = (£)30.72 | A1 | |
| (To the nearest 10p =) (£)30.7(0) | B1 | FT ‘their amount’ only if rounding required. |