Student Edition - Mathematics in Context - Britannica

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