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Starter Exchange rate is $NZ1 = $AUD0.836 If you have $NZ450 how much will you get in $AUD? $AUD = 450 x 0.836 = $AUD376.20 If you need to have $AUD800,

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Presentation on theme: "Starter Exchange rate is $NZ1 = $AUD0.836 If you have $NZ450 how much will you get in $AUD? $AUD = 450 x 0.836 = $AUD376.20 If you need to have $AUD800,"— Presentation transcript:

1 Starter Exchange rate is $NZ1 = $AUD0.836 If you have $NZ450 how much will you get in $AUD? $AUD = 450 x 0.836 = $AUD376.20 If you need to have $AUD800, how much will this cost in $NZ? $NZ = 800 ÷ 0.836 = $NZ956.94

2 Starter Jenny uses a memory stick to store digital pictures, music downloads and video clips. These take up ⅓, ⅖ and ⅛ respectively of the memory. Calculate the fraction of the memory stick that is still available to store data. A plastic bottle is ⅞ full. When it is poured into an empty glass, the bottle is now ⅗ full. What fraction of a full bottle will remain after a further two glasses have been poured out? 17 / 120 1 / 20

3 Note 7: Direct Linear Proportions Similar ratios can be used to solve linear proportion problems. The ratio can be scaled up (or down) by multiplying (or dividing) both parts of the ratios by the same number.

4 Examples: The ratio of gummy bears to jelly beans in a lolly mixture is 3:5. If the mixture has 75 gummy bears, how many jelly beans are there in the mixture? 3 x _ = 75 What fraction of the lolly mixture is gummy bears? 5 x 25 = 125 3/83/8

5 Note 8: Inverse Proportion If one quantity is inversely proportional to another; one quantity increases while the other quantity decreases. The product of the two quantities is a constant value.

6 Examples: It takes six painters 15 days to paint a school. How long will it take 10 painters? One painter takes more or less time? One painter would take: 10 painters would take: more 6 x 15 = 90 days 90 / 10 = 9 days

7 Page 17 Exercise K and L


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