Unit 5 Ratio and Proportion

1. Unit 5Ratio and Proportion

2. Unit 5 Simplifying Ratios

3. You can simplify ratios in the same way as fractions. ExampleDivide both sides by a common factor Example Simplify

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5. Unit 5 Simple Ratios

6. A class consists of 12 girls and 20 boys. What is the ratio of (a) girls to boys and (b) boys to girls? Give the answer in its simplest form. • Girls to boys • Boys to girls

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8. Unit 5 Proportion and Ratio

9. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5:8. • How much pineapple juice would be mixed with 500cm3 of orange juice? Ratio of orange : pineapple For every 1cm3 of orange juice you need ? 1.6 cm3 of pineapple

10. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5:8. • How much pineapple juice would be mixed with 500cm3 of orange juice? Ratio of orange : pineapple For every 500cm3 of orange, you need ? 800 cm3 of pineapple

11. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5:8. (b) How much orange juice would needed with 500cm3 of pineapple juice? Ratio of pineapple: orange For every 1cm3 of pineapple, you need ? ? ? 0∙625 cm3 of orange

12. To make a fruit drink, you mix orange juice and pineapple juice in the ratio 5:8. (b) How much orange juice would needed with 500cm3 of pineapple juice? Ratio of pineapple: orange For every 500cm3 of pineapple, you need ? 312∙5 cm3 of orange

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14. Unit 5 Map Ratios

15. The Caribbean

16. If the map was drawn to the scale 1:10 000 000, calculate the actual distance, in km, for a map distance of 20cm. 20cm on map ? ? ?

17. The actual distance between Kingston and St Kitts is about 1450km. What is the map distance. ? ?

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19. Unit 5 Proportional Division

20. Problem Divide $70 between Marlon and Jenni in the ratio 9:5 Solution Divide $70 into 14 equal parts: Marlon’s share = Jenni’s share = Check ? ? ? ? ? ? ? ? ?

21. Problem Misha, Sharon and Lloyd divide up 90 sweets in the ratio 2:7:9. How many sweets do they each get? Solution Divide $90 into 80 equal parts: Misha: Sharon: Lloyd: ? ? ? ? ? ? ? ?

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