Foundation November 2020 Paper 3 Q14
14 Here are ticket prices for a theme park.
| Single tickets Adult £48 Child £26 Special offer tickets 1 adult and 2 children £82 2 adults and 2 children £120 |
(a) Freya buys tickets for 3 adults and 4 children.
She pays the cheapest possible total cost.
How much does she save compared to buying all single tickets? [4 marks]
(b) Leroy buys 5 single adult tickets.
He uses a voucher that reduces the price of tickets by a quarter.
In total, how much does he pay? [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(3 \times 48 + 4 \times 26\) or \(144 + 104\) or 248 | M1 | oe |
| Any combination of ticket prices for 3 adults and 4 children involving at least one special offer | M1 | oe eg \(120 + 82\) or 202 or \(2 \times 82 + 48\) or \(164 + 48\) or 212 or \(120 + 48 + 2 \times 26\) or \(120 + 48 + 52\) or 220 or \(82 + 2 \times 48 + 2 \times 26\) or \(82 + 96 + 52\) or 230 |
| their 248 − their combination total for 3 adults and 4 children | M1dep | oe eg \(248 - 120 - 82\) if fully correct or \(248 - 212\) or 36 or \(248 - 220\) or 28 or \(248 - 230\) or 18 dep on second M mark |
| 46 | A1 |
Additional guidance
Award M1, M2 or M3 work even if not subsequently used
If no correct working is shown for the first M mark then their 248 must be a value of 148 or greater
| Answer | Mark | Comments |
|---|---|---|
| \(48 \times \dfrac{1}{4}\) or 12 or \(5 \times 48 \times \dfrac{1}{4}\) or 60 | M1 | oe implied by \(48 \times \left(1 - \dfrac{1}{4}\right)\) or 36 |
| \(5 \times 48 - 5 \times 48 \times \dfrac{1}{4}\) or \(240 - 60\) | M1dep | oe eg \(5 \times 48 \times \dfrac{3}{4}\) or \(240 \times \dfrac{3}{4}\) or \(5 \times 36\) |
| 180 | A1 |
Additional guidance
| 180 and \(240 - 180 = 60\) | M1M1A0 |