25% Sale In a sale, all the prices are reduced by 25%. 1. Julie sees a jacket that cost $32 before the sale. How much does it cost in the sale? $ ______________________ Show your calculations. In the second week of the sale, the prices are reduced by 25% of the previous week’s price. In the third week of the sale, the prices are again reduced by 25% of the previous week’s price. In the fourth week of the sale, the prices are again reduced by 25% of the previous week’s price. 2. Julie thinks this will mean that the prices will be reduced to $0 after the four reductions because 4 x 25% = 100%. Explain why Julie is wrong. ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ 3. If Julie is able to buy her jacket after the four reductions, how much will she have to pay? $ ______________________ Show your calculations. Julie buys her jacket after the four reductions. What percentage of the original price does she save? ____________________% Show your calculations Copyright © 2011 by Mathematics Assessment Resource Service. All rights reserved. 25% sale Rubric section points points 1 Gives correct answer: $24 1 Shows correct work such as: 32 ÷ 4 = 8 and 32 - 8 1 2 2 Gives a correct explanation such as: Each reduction is 25% of the previous week’s price, and as the price goes 1 1 down each week, the 25% will be smaller amount each week. 3 Gives correct answer: $10.12 or $10.13 1 Shows correct work such as: 32 x 0.754 or 24 x 753 or∫ 24 – (24 x 0.25) = 18 18 – (10 x 0.25) = 13.5 3 13.5 – (13.5 x 0.25) Partial credit (2) Correct at least as far as 24 – (24 x 0.25) = 18; 18 – (18 x 0.25) = 13.5 (1) Correct as far as 24 – (24 x 0.25) = 18 4 4 Give correct answer: 68.3% or 68.4% 1 Shows correct work such as: 32 – 10.12(or 3) = 2188(7) and 21.88(7) / 32 x 1000 or 2 10.12(oe 3) / 32 x 100 = 21.6(7) and 100 – 31.6(7) Partial credit (2) 31.6% or 31.7% with correct work (1) 31.6% or 31.7% without correct work 3 Total Points 10 Copyright © 2011 by Mathematics Assessment Resource Service. All rights reserved.