Foundation November 2017 Paper 3 Q26

AQACurrent spec7 marksTree Diagrams

26 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

	B1B1B1B1
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 \(\dfrac{3}{4}\) and \(\dfrac{1}{4}\) is B0
	B1B1B0B1ft
	B1B1B0B1ft

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