Student Edition - Mathematics in Context - Britannica

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Answers to Check Your Work5. Answers will vary. Sample responses:• Half of 50% is 25%.50% of 900 is 450 ( 1 2 of 900).Half of 50% is 225.25% is 1 4of the whole. I can find1 4 of 900 by dividing 900 by four; 900 4 225.SectionCMany Changes1. Answers will vary. Sample answers are shown.ApplesPearsOranges1 51 41 31 5 1 Bananas 1 10 1 10102. You may have used strategies like these.Apples: 1 4 more is 100 kg; 1 4 of 80 kg is 20 kg; 1 4 more is 100 kg(80 20).Pears: 1 3 less leaves 30 kg. 1 3 of 45 is 15, and 45 15 is 30 kg.Oranges: 2 5less is 60 kg. 1 5 of 100 is 20 kg, so 3 5 of 100 is3 20 60 kg.Bananas: 3 10more is 156 kg. 1 10of 120 kg is 12 kg, so 3 10of 120is 3 12 36; 36 120 156 kg.44 More or Less
Answers to Check Your Work3. Tim saves more money with a discount of $1.50 for each item,which is a discount of $7.50 (5 $1.50). You may have used oneof these strategies.• Calculating 15% of the total:15% of ($11.95 $9.95 $8.95 7.95 6.95) 15% of$45.75 is a little more than $6.86, which is not as goodas a $7.50 discount.• Calculating 15% off each item using a calculator:0.15 $11.95 0.15 x $9.95 0.15 $8.95 + 0.15 $7.95 0.15 $6.95 = 6.8625 about $6.86, which is notas good as a $7.50 discount.• Estimating 15% of total:Estimate of total is $46 ($7 + $8 +$9 +$10 +$12).15% of $46, which is 10% 5% of $46, which is $4.60 $2.30 $6.90, and this is less than the discount of $7.50.If you make a more accurate estimate, you might get:The total is $7 $8 $9 $10 $12 – 5 $0.05 $45.75.15% of $45.75 is about $6.86, which is less than $7.50.4. You have to pay 4 5of the old price.Sample strategy, using a percent bar:80% 100%discount4__5 1__ 55. The original price is $56.Note that the original price wasn’t given here!There are several ways to solve this problem.• Using a percent bar:$14 $420% 25% 75% 100%Since $42 is the sale price after a 25% discount, 75% or 3 4of the bar represents $42. So 25% of the bar is $14 andthe whole bar has to be 4 of these, or $56.Answers to Check Your Work 45
Page 1 and 2: Moreor LessNumber
Page 3 and 4: The Mathematics in Context Developm
Page 6 and 7: Dear Student,This unit is about the
Page 8 and 9: AProduce PricingCarol is a customer
Page 10 and 11: AProduce PricingWhen Carol is finis
Page 12 and 13: AProduce Pricing1.92Paul calculated
Page 14 and 15: AProduce PricingThere are many ways
Page 16 and 17: AProduce PricingPaul has $7 to spen
Page 18 and 19: BDiscountsThe second survey questio
Page 20 and 21: BDiscounts9. Choose three of your m
Page 22 and 23: BDiscounts• Results of a survey c
Page 24 and 25: CMany ChangesDesign a SignSave Supe
Page 26 and 27: CMany ChangesProfit FractionsThe ow
Page 28 and 29: CMany ChangesMs. Jao decided to use
Page 30 and 31: CMany ChangesTo calculate the sale
Page 32 and 33: DMore or LessEnlarge or ReduceMarit
Page 34 and 35: DMore or LessThe group wants to mak
Page 36 and 37: DMore or Less• A third method use
Page 38 and 39: DMore or LessIn this section, you s
Page 40 and 41: DMore or LessThe copier they are us
Page 42 and 43: Additional PracticeSectionBDiscount
Page 44 and 45: Additional PracticeDuring his prese
Page 46 and 47: Answers to Check Your WorkThe price
Page 48 and 49: Answers to Check Your Work• Calcu
Page 52 and 53: Answers to Check Your Work• Using

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