Nayland College, Nelson, co-educational high school ...



. Ratio .Ratio is a way of showing how something is SHARED outThe ratio of chocolate to flour in my cake is 2:5 This Means for every 2 cups of chocolate add 5 cups of flour Skills:Simplify a ratio (smallest whole numbers)These ratios all simplify to the ratio 2:5?4:10 ?? 8:20 ?? 6:15?? 20:50 ?? 10:25 ?? 12:30 ?? 14:35?? 80:200 ?? 0.2:0.5 ?? Hint: to simplify use the fraction function on the calculator (putting smallest part of ratio on the top of fraction). Ratio A .A Ratio compares the quantities or amounts (has the same units)A Ratio is used to describe how something is shared between groups. eg Ratio of Juice to water = 4:1 eg Ratio of Teachers to Students to Outdoor Instructors = 1:25:2Bob has $1.20 and Betty has $3.80 They combine their money, buy a lotto ticket and win $450. How could the money be shared fairly?1) What is the ratio of Bob:Betty’s money they combined? = 2) Simplify this ratio = 3) What fraction of the ration is Bobs? = and Betty’s? =4) Share the $450 by this ratio = . Ratio B .SKILLS:Write information as a ratio (watch order of numbers)Simplify ratios (Must be same units & should be whole numbers)eg 2.4kg:1000g = 2.4kg:1kg = 24kg:10kg = 12:5 ratioSplitting into a given ratio eg split 85kg into the ratio 12:51) Find total of ratio parts eg 12 + 5 = 17 2) Find the fraction for each part eg :3) Find the amount for each part eg x 85kg = 60kg x 85kg = 25kgOr1) Find total of ratio parts eg 12 + 5 = 17 2) Divide the amount by this ‘total’ eg 85kg ÷ 17 = 5kg (each part is worth 5kg)3) Multiply this by the ratio eg 12 x 5kg = 60kg 5 x 5kg = 25kg. Ratio C .Simplify these ratios1) 24:60 = 2) 30%:60%:10% = 3) 4.8kg:3600g = 4) : 5) A map scale is 1cm : 4km A 8.5cm map line is ? km6) Split 84 into the ratio 5:1 7) Share $460 into the ratio 2:1:4 (round sensibly)8) If a fuel mix is a 53:2 ratio of petrol to oil. If I have 1.6 litres of oil, how much fuel mix can I make? . Ratio Example A .Splitting up given a ratio Example 1 Share an inheritance of $48 into the ratio 5:1 ???Steps5 + 1 = 6 parts 1) Add the ratio 'parts' together (how many 'parts' total?) $48 ÷ 6parts = $8 2) What is 1 'part' worth? 5:13) Share the ratio 5 x $8 : 1 x $8 ?$40 : $8 Write the ratio in the correct order (if 1:5 then $8:$40) . Ratio Example B .Example 2 Bob & Bill build a boat. Bob works for 12hr and Bill works for 30hrThey sell the boat for $840.If they share the money according to the time worked, how much will each person get? ??Steps12 + 30 = 42 parts 1) Add the ratio 'parts' together (how many 'parts' total?) $840 ÷ 42parts = $20 2) What is 1 'part' worth? 12:303) Share the ratio Bob:Bill12 x $20 : 30 x $20 ?$240 : $600 Bob gets $240 and Bill gets $600 ................
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