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# NCV 2 Mathematical Literacy Hands-On Training Case Studies Module 1

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Solutions to Case Studies from Module 1 NCV 2 Mathematical Literacy Hands-On Training published by Future Managers (www.futuremanagers.net)

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### NCV 2 Mathematical Literacy Hands-On Training Case Studies Module 1

1. 1. Mathematical Literacy 2 Module 1 Answers to Case Studies Case studies module 1 Future Managers 1
2. 2. Case Study 1 1. Why do you think the guest house is called “Cloud Nine” Cloud nine means a state of perfect happiness 4. Locate both businesses on the map provided. How far away from each other are they? Why do you think that is? Case studies module 1 Future Managers 2
3. 3. Cloud nine Squeaky Case studies module 1 Future Managers 3
4. 4. 1. Why are the rates at Cloud 9 cheaper on the weekend than during the week? More people are likely to stay there during the week than the weekend 5. The rate for a double room is also less per person than for a single room. Why is that? Two people staying in a double room, use up less space, and will require less cleaning and laundry Case studies module 1 Future Managers 4
5. 5. 5. If Cloud 9 is 80% full during the week (Mon – Thurs), how many guests in total would have stayed there during the week if you assume that each double room was occupied by two people? =30 Double rooms x 2 people x 80% =48 people per day 4 x 48 = 192 people per week Case studies module 1 Future Managers 5
6. 6. 1. How much cheaper is it to stay over weekends, Rand and percentage? Single room: R400-R360 = R40 R40 / R400 x 100 = 10% Double Room: R560 – R500 = R60 R60 / R560 x 100 = 10.71% Case studies module 1 Future Managers 6
7. 7. 1. On average Cloud 9 has 35 guests per night over the weekend. What is the minimum number of rooms that will remain unoccupied over the weekend? Express your answer as a common fraction. What percentage is this? Number of rooms = 35 / 2 = 17.5 Therefore 18 rooms are occupied Expressed as a percentage: 18 / 30 x 100 = 60% Case studies module 1 Future Managers 7
8. 8. 8. Estimate the total number of guests staying at Cloud 9 during any particular month Assuming different guests every night Total guests = 4 x (4 days x guests per week day + 3 x guests per weekend day) = 4 x (192 + 3 x 35) = 1188 people Therefore approximately 1200 people Case studies module 1 Future Managers 8
9. 9. 9. Cloud 9 is over the moon about the Soccer World Cup in 2010. The construction of the Peter Mokoba stadium is progressing well and the owners are smiling. In your opinion (estimate) how many guests should they expect during the month of September 2010? Assuming 100% occupancy Total guests = 4 x (4 days x 60 guests per week day + 3 x 60 guests per weekend day) = 4 x (420) = 1680 people Case studies module 1 Future Managers 9
10. 10. 1. The owners are already starting to get bookings for the world cup month, but they are unsure how much they should charge per night. One factor that they do know is that our inflation rate is about 6% per year. This is the minimum % by which rates should increase every year to maintain the same amount of profit. Advise the owners how much you think they should charge during this period. If you made certain assumptions or estimations write them down and explain them. Case studies module 1 Future Managers 10
11. 11. 1. What unit of measurement will you use to calculate the weight of a set of double bed linen? grams 3. How much do you think a set of double bed linen weighs? 500 grams Case studies module 1 Future Managers 11
12. 12. 1. Calculate the total weight of the linen that Cloud 9 is sending to Squeaky every week and how much it will cost. Total weight = grams per bed linen x 30 rooms 4. Following the instructions on your own box of washing powder, how many boxes of powder will they use each weekend? Case studies module 1 Future Managers 12
13. 13. 1. Calculate the total surface area of the washing powder box Surface area of box = 2 x Area side 1 + 2 x area side 2 + 2 x area side 3 Area = length x breadth 2 3 1 Case studies module 1 Future Managers 13
14. 14. Case Study: Driving 1. List the number of different measurement tools that are used on this car console •Speedometer •Rev counter •Economy gauge •Clock •Thermometer •Odometer •Fuel consumption meter Case studies module 1 Future Managers 14
15. 15. Case Study: Driving Case studies module 1 Future Managers 15
16. 16. Case Study: Driving 1. How fast was this car driving? 55 km / h 4. What rate is used to measure how fast the car is driving? kilometres per hour Case studies module 1 Future Managers 16
17. 17. Case Study: Driving 4. Is this a direct ratio or indirect ratio Direct. The greater the number of kilometres travelled per hour, the greater your speed 5. Was this car driven in the morning or in the evening? Evening (the clock says PM) Case studies module 1 Future Managers 17
18. 18. Case Study: Driving 4. What is the “044607” and the “735.8” measurement on the screen? “044607” represents the total distance travelled by the car 735.8 is a settable distance measurement, usually reset when refuelling Case studies module 1 Future Managers 18
19. 19. Case Study: Driving 7. Estimate how far this car can still drive before it must fill up again. ?????? Case studies module 1 Future Managers 19
20. 20. 1. What type of fraction is used to determine how much petrol is in the car’s tank? Common fraction 4. What is the “outside” temperature and what does it mean? 18.0°C. It means the air temperature outside of the car Case studies module 1 Future Managers 20
21. 21. 1. What answer do you think the owner will give if a friend asks him while having a cup of coffee somewhere, “what is the mileage of your car?” The answer will probably be: “44 thousand kilometres” 11. What is the actual RPM reading of this vehicle and what does it mean? 1800 revolutions per minute. It means that the engine turns 1800 times per minute. Case studies module 1 Future Managers 21
22. 22. 1. How many litres of petrol will this car need to drive 150km? Litres of petrol = 9.6 litres / 100 km ÷ 100 x 150 km = 14.4 litres Case studies module 1 Future Managers 22