Unit 5 Ratio and Proportion

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Unit 5Ratio and Proportion
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Presentation 1 Simplifying Ratios
Presentation 2 Simple Ratios
Presentation 3 Proportion and Ratios
Presentation 4 Map Ratios
Presentation 5 Proportional Division
2
Unit 5

• Simplifying Ratios

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

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Unit 5

• Simple Ratios

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• 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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Unit 5

• Proportion and Ratio

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• 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
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• 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
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• 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

?
?
?
0625
cm3 of orange
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• 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

?
3125
cm3 of orange
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Presentation 1 Simplifying Ratios
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Presentation 5 Proportional Division
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Unit 5

• Map Ratios

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The Caribbean
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• If the map was drawn to the scale
• 110 000 000, calculate the actual distance, in
  km, for a map distance of 20cm.
• 20cm on map

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

?
?
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RatiosPlease choose an option
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Presentation 1 Simplifying Ratios
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Presentation 3 Proportion and Ratios
Presentation 5 Proportional Division
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Unit 5

• Proportional Division

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• Problem Divide 70 between Marlon and Jenni in
  the ratio 95
• Solution
• Divide 70 into 14 equal parts
• Marlons share
• Jennis share
• Check

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?
?
?
?
?
?
?
?
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• Problem Misha, Sharon and Lloyd divide up 90
  sweets in the ratio 279. How many sweets do
  they each get?
• Solution
• Divide 90 into 80 equal parts
• Misha
• Sharon
• Lloyd

?
?
?
?
?
?
?
?
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Presentation 1 Simplifying Ratios
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