Foundation November 2022 Paper 2 Q14
14 To travel to a festival, a group of people will hire a minibus.
This formula has all costs in £
| Cost per person \(= \dfrac{165 + \text{cost of the minibus}}{\text{number of people in the group}}\) |
(a) With 12 people in the group, the cost of the minibus will be £567
Work out the cost per person. [2 marks]
(b) With 15 people in the group, they will hire a different minibus.
The cost per person will be £50
Work out the cost of this minibus. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{165 + 567}{12}\) or \(\dfrac{732}{12}\) | M1 | oe |
| 61 | A1 | SC1 212.25 |
Additional guidance
| Only \(165 + 567 \div 12\) with brackets missing | M0A0 |
| 61.00 | M1A1 |
| 61.0 | M1A0 |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(50 = \dfrac{165 + x}{15}\) or \(50 \times 15\) or 750 seen | M1 | oe eg \(750 = 165 +\) cost of minibus any letter or symbol or word(s) |
| \(50 \times 15 - 165\) | M1dep | oe |
| 585 | A1 | SC1 915 |
| Alternative method 2 | ||
| \(165 \div 15\) or 11 | M1 | oe |
| \((50 -\) their \(11) \times 15\) or \(39 \times 15\) | M1dep | oe |
| 585 | A1 | SC1 915 |
Additional guidance
Up to M2 may be awarded for correct work with no answer, or incorrect answer, even if this is seen amongst multiple attempts
\((165 +\) any value\() \div 15\) does not imply M1 unless set up as an equation for the first mark of Alt 1
Allow 12 as a misread for 15