Foundation June 2022 Paper 2 Q13

13 Steve and Molly each buy 480 tea bags.

Small packs
80 tea bags for £1.90

Large packs
160 tea bags for £3.25

Steve buys only small packs.
Molly buys only large packs.

In total, how much more than Molly does Steve pay? [4 marks]

Mark scheme

Answer	Mark	Comments
Alternative method 1 Compares cost of 480 bags
\(480 \div 80\) or 6 or \(480 \div 160\) or 3	M1	oe eg \(160 + 160 + 160 = 480\) may be implied
\(480 \div 80 \times 1.9(0)\) or \(6 \times 1.9(0)\) or 11.4(0)	M1	oe cost from small packs eg \(1.90 \div 80 \times 480\) implies first M
\(480 \div 160 \times 3.25\) or \(3 \times 3.25\) or 9.75	M1	oe cost from large packs eg \(3.25 \div 160 \times 480\) implies first M
1.65(p)	A1
Alternative method 2 Compares cost of 160 bags
\(160 \div 80 \times 1.9(0)\) or \(2 \times 1.9(0)\) or 3.8(0)	M1	oe cost from small packs
their \(3.8(0) - 3.25\) or (0).55	M1dep	oe
\(480 \div 160 \times\) their 0.55 or \(3 \times\) their 0.55	M1dep	oe
1.65(p)	A1
Alternative method 3 Compares cost of 80 bags
\(80 \div 160 \times 3.25\) or \(3.25 \div 2\) or 1.625	M1	oe cost from large packs eg \(\dfrac{1}{2} \times 3.25\)
\(1.9(0) -\) their 1.625 or 0.275	M1dep	oe
\(480 \div 80 \times\) their 0.275 or \(6 \times\) their 0.275	M1dep	oe
1.65(p)	A1
Alternative method 4 Compares cost of 1 bag
\(1.9(0) \div 80\) or 0.023 75 and \(3.25 \div 160\) or 0.020 312 5	M1	oe cost from small and large packs two comparable costs
\(1.9(0) \div 80 - 3.25 \div 160\) or 0.003 437 5	M1dep	oe
\(480 \times\) their 0.003 437 5	M1dep	oe
1.65(p)	A1

Allow working in pence for M marks

Up to M3 may be awarded for correct work with no, or incorrect answer, even if this is seen amongst multiple attempts

If comparing cost of eg 240 bags apply the principles of Alt 4

In Alt 1 the second and third marks both imply the first mark and can be done in either order

Alts 2, 3 and 4 for the second mark allow subtractions in either order