2. Suppose the pizzas at the two tables are shared equally by everyone seated at the table. Does a person seated at the small table get the same amount of pizza as a person seated at of the large table?

3. 10 : 4 people: pizza 1 :  ÷ 10 0,4 8 : 3 people: pizza 1 :  ÷ 8 0,375 You would need to know that four tenths of a pizza is more than three eights.

5. 2:3 concentrate: water 1:2 concentrate: water 5:9 concentrate: water 3:5 concentrate: water How do we compare these ratios?

6. 2 cups concentrate 3 cups water 3 cups concentrate 9 cups water 1 cups concentrate 2 cups water 3 cups concentrate 5 cups water 2525 3 12 1313 3838 120 48304045 Strongest taste – most concentrate

7.  The heights of Jane and Jess are in the ratio 7:9. The shorter one of the two is 154cm. Who is taller and what is her height?

8. 7 : 9 short : tall Jane : Jess 154:  The heights of Jane and Jess are in the ratio 7:9. The shorter one of the two is 154cm. Who is taller and what is her height? x 22 198

9. Three children share R75 in the ratio 1: 2: 3 1 : 2 : 3= 6  :  :  = 75 x 12.5 12.5 2537.5

10. Energade energy drink, needs be to mixed in the ratio 1 part concentrate to 3 parts water. How much water is and concentrate is needed for a litre of Energade energy drink? 1 : 3 4 concentrate : water Energade  :  1000 m l x 250 250 x 250 750

11. In SUMMARY  Write down in words what you have  Write down the ratios  How many times bigger is the given  Multiply to find the unknown Words 7 : 9 Jane : Jess 154:  154 ÷ 7 = 22 198 9 x 22 = 198 Ratios ÷ up x down

12. 5,7 : 100 litres : km 35 :  A Fiat 500 has an average consumption of 5,7 /100 km. If the car has a 35 tank, how far can it go on one tank of petrol? ÷ x 35 ÷ 5,7 x 100 ≈ 614 km

13. This is a topic that always confuses learners and does not have to. Write 8 cm as m 100 : 1 cm : m 8 :  8 ÷ 100 x 1 = 0,08 m²

14. 100 :1 cm : m Write 8 cm² as m² 100² :1² cm² : m² 10000 :1 8 :  8 ÷ 10000 x 1 = 0,0008 m²

15. 1 : 11,94 Dollar : Rand 199 :  The dollar-rand exchange rate on 5 January 2014 is: R11,94 for $1. If the price of the new iPhone 6 is $199, what would the cost of the phone me in rands? 11,94 x 199 = R2 376,06

17. USING THE RATIO METHOD…. Again…

18. A R250 pair of jeans has been marked down with 20%. What is the new sale price? 100% : 80% Original price : Sale price R250 :  250 ÷ 100 x 80 = R200 ÷ x

19. A R250 pair of jeans has been marked down with 20%. What is the new sale price? Fraction method:

20. The sale price on a pair of jeans after a discount of 20% is R140. What was the original price? 100% : 80% Original price : Sale price  : R140 140 ÷ 80 x 100 = R175 ÷ x

21. The sale price on a pair of jeans after a discount of 20% is R140. What was the original price? Fraction method:

22. The price of bread has increased with 5% to R8,40. What was the price before the increase? 100% : 105% Original price : Increase  : R8,40 8,40 ÷ 105 x 100 = R8 ÷ x

23. The price of bread has increased with 5% to R8,40. What was the price before the increase? Fraction method:

24. Calculate the VAT inclusive price on a pair of shoes that cost R150 before 14% VAT. 100 : 114 VAT exclusive : VAT inclusive R150 :  150 ÷ 100 x 114 = R171 ÷ x

25. Calculate the VAT inclusive price on a pair of shoes that cost R150 before 14% VAT. Fraction method:

26. The VAT inclusive price on a pair of shoes is R285. Calculate the VAT exclusive price 100 : 114 VAT exclusive : VAT inclusive  : R285 285 ÷ 114 x 100 = R250 ÷ x

27. The VAT inclusive price on a pair of shoes is R285. Calculate the VAT exclusive price Fraction method:

28. In GEOMETRY

29. 7 cm on a 1:50 000 map, would amount to how many kilometers in real life? 1: 50000 Map : Real life 7 :  7 x 50000 = 350000 cm 100 000 cm : 1 km 350 000 cm :  3,5km

30. This picture is an enlargement of a bee. A scale of 1:0,25 is used and on this drawing the bee has a wingspan of 6 cm. What is the bee’s real life wingspan? 1: 0,25 Drawing : Real life bee 6 :  6 ÷ 1 x 0,25 = 1,5 cm ÷ x

31. The following house plan has a scale of 1: 150. If the length of the house in the real life is 12 m, then what is the length of the house on the house plan?

32. The following house plan has a scale of 1: 150. If the length of the house in the real life is 12 m, then what is the length of the house on the house plan in cm? 1: 150 House plan : Real life  : 1200 cm 11 ÷ 120 x 1 = 8 cm ÷ x

34. 6 painters paint a house in 5 days. 5 painters will paint the same house in? Painters : Days 6 : 5 Therefore, twice the amount of painters will take half the time 12 : 2,5 And half the amount of painters, will take double the time 3 : 10 Look at these numbers. Do you notice the following? 6 x 5 = 3 x 10 = 12 x 2,5 = 30

35. 6 painters paint a house in 5 days. 5 painters will paint the same house in? 6 : 5 Painters : Days 5 :  30 ÷ 5 = 6 days 6 x 5 = 30 5 x  = 30

36. It takes 10 recycle team members 40 minutes to sort all the recycled items. How long (to the nearest minute) will it take 6 members? People : Minutes 10 : 40 Twice the amount of people will take half the time 20 : 20 And half the amount of people, will take double the time 5 : 80 10 x 40 = 20 x 20 = 5 x 80 = 400

37. It takes 10 recycle team members 40 minutes to sort all the recycled items. How long (to the nearest minute) will it take 6 members? 10 : 40 People : Days 6 :  400 ÷ 6 ≈ 67 min 10 x 40 = 400 6 x  = 400

38. RATIO / DIRECT PROPORTION  As the one value increase, so the other value increases  Constant growth INDIRECT / INVERSE PROPROTION  As the one value increase, so the other value decreases  Non-constant growth 12345 510152025 12346 126432