Foundation June 2022 Paper 1 Q13
13 Here are the ticket prices for a zoo when bought at the gate.
| Adult | £22 |
| Child | £18 |
| Family ticket (2 adults and up to 4 children) | £80 |
(a) Mr and Mrs Khan take their four children to the zoo.
They buy their tickets at the gate.
They buy their tickets at the gate.
How much do Mr and Mrs Khan save by buying a family ticket? [4]
(b) All ticket prices are reduced by 15% if bought online rather than at the gate.
Mr and Mrs Morris take their one child to the same zoo.
They buy their tickets online.
Mr and Mrs Morris take their one child to the same zoo.
They buy their tickets online.
What is the lowest possible total cost of their tickets? [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 36 | 4 | M3 for \((2 \times 22 + 4 \times 18) - 80\) oe or M2 for \(2 \times 22 + 4 \times 18\) may be implied by \(44 + 72\) or 116 or M1 for \(2 \times 22\) or \(4 \times 18\) may be implied by 44 or 72 | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 52.7[0] | 4 | M3 for \(0.85 \times (2 \times 22 + 18)\) oe soi by \(0.85 \times 62\) or M2 for \(0.85 \times\) their price oe may be done in stages, soi by 15.3[0], 18.7[0], 34[.00], 37.4[0], or 68[.00] or \(0.15 \times (2 \times 22 + 18)\) oe soi by \(0.15 \times 62\) or 9.3[0] or M1 for \(0.15 \times\) their price oe may be done in stages, soi by 2.7[0], 3.3[0], 6[.00], 6.6[0], or 12[.00] | oe includes reducing individual prices before summing their price must be 18, 22, 18+22 or 40, 22+22 or 44, or 80 If done in stages, award M2 or M1 if at least one correct calculation |