Higher November 2017 Paper 3 Q11
11 42 men and 38 women visit a restaurant.
44 of these people have a voucher.
Three times as many men as women do not have a voucher.
(a) Complete the frequency tree. [4 marks]
(b) A voucher takes 15% off the bill.
After using the voucher, the bill for a meal is £27.20
How much was the bill before using the voucher? [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| 80 | B1 | |
| 44 and 36 | B1ft | ft their \(80 - 44\) |
| 27 and 9 | B1ft | ft their \(36 \div 4 \times 3\) and ft their \(36 \div 4\) |
| 15 and 29 | B1ft | ft \(42 -\) their 27 and ft \(38 -\) their 9 Total on ft must be 44 |
Additional guidance
 | B1B1B1B1 |
 | B1B1B0B1ft |
 | B1B1B0B1ft |
| Mark diagram only, do not allow misread | |
| Values may be rounded up or down to whole numbers provided the total is correct | |
| Penalise the use of relative frequencies on the first occurrence only | |
| If relative frequencies are shown the denominator must be 80 and not simplified eg \(\frac{3}{4}\) and \(\frac{1}{4}\) is B0 |
| Answer | Mark | Comments |
|---|---|---|
| 85% or 0.85 | M1 | |
| \(27.2 \div 0.85\) or \(27.2 \div 85\ (\times\, 100)\) or 0.32 | M1dep | |
| 32(.00) | A1 | Correct money notation Allow £32.00p |
Additional guidance
| 32.0 | M1M1A0 |