Foundation June 2025 Paper 2 Q22
22 A group of adults and students go to a theme park.
Here are the prices.
| Adult | £24.50 |
| Student | £16.25 |
| One adult free with every 5 students | |
In the group there are 48 students.
The total price for the group is £927
How many adults are in the group? [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(48 \times 16.25\) or 780 | M1 | oe |
| \((927 -\) their \(780) \div 24.5(0)\) or \(147 \div 24.5(0)\) or 6 | M1dep | oe eg \(6 \times 24.5(0) = 147\) or \(780 + 24.5 + 24.5 + 24.5 + 24.5 + 24.5 + 24.5 = 927\) |
| \(48 \div 5\) or 9(.6) or 9r3 | M1 | oe eg adds 5s to at least 45 |
| 15 | A1 | SC3 63 SC2 54 or 57 |
Additional guidance
| Up to M3 may be awarded for correct work, with no or incorrect answer, even if this is seen amongst multiple attempts | |
| Note that the third mark is independent | |
| Equivalent methods may be used following 780 and 9 in order to work out the number of paying adults eg \((780 + 9 \times 24.5 - 927) \div 24.5 + 3 = 6\) | M1M1M1 |
| SC3 is the total number of people in the group SC2 is the total number of students plus either the free or paying adults | |
| \(45 \div 5 = 9\) implies 9 free adults | 3rd M1 |