Foundation June 2018 Paper 1 Q11

AQACurrent spec6 marksFDPR Mixed Context

11 300 passengers go on a coach trip.

Each coach takes 50 passengers.
Each passenger pays £25

The table shows the costs for the coach company.

Each coach travels 200 miles.

Work out the total profit the company makes from this trip. [6 marks]

Mark scheme

Answer	Mark	Comments
Alternative method 1 – coaches, income, fuel, drivers, profit, answer
6	B1	number of coaches
\(300 \times 25\) or 7500 or \(50 \times 25\) or 1250	M1	total income for one or all coaches
(their 6) \(\times 200 \times 0.7\) or 140 or 840 or (their 6) \(\times 200 \times 70\) or 14 000 or 84 000	M1	cost of fuel for one or all coaches 140 is implied by 230 (fuel \(+\) one driver)
their \(6 \times 90\) or 540 or their \(1250 -\) their \(140 - 90\) or 1020	M1	cost of all drivers or profit for one coach
their \(7500 -\) their \(840 -\) their 540 or their \(6 \times\) their 1020	M1dep	oe method to calculate profit must be consistent units dependent on M3
6120	A1
Alternative method 2 – profit per passenger
\(90 \div 50\) or 1.8(0)	B1	cost per passenger for a driver
\(200 \times 0.7\) or 140 or \(200 \times 70\) or 14 000	M1	cost of fuel per coach
their \(140 \div 50\) or 2.8(0) or their \(14\,000 \div 50\) or 280	M1dep	cost per passenger for the fuel dependent on M1
\(25 -\) their \(1.8(0) -\) their 2.8(0) or 20.4(0)	M1dep	oe profit made per passenger must be consistent units dependent on B1M1M1
their \(20.4(0) \times 300\)	M1dep	method to calculate total profit must be consistent units dependent on previous mark
6120	A1

\(540 + 840\) or 1380 (without evidence for the second mark)	B1M0M1M1 (Alt 1)
6 (for B1) may be implied by a calculation or value such as 540	(Alt 1)