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Printjmc
algebra intermediate
Problem
The new Perry Hotter book will have a cover price of \25\ off and off. A clever shopper realizes that the prices will be different depending on the order in which she claims her discounts. How much more money will she save by taking the better valued approach rather than the other approach? Express your answer in cents.
Solution
If the clever shopper takes 20\%0.8 \times (\25 - \4) = 0.8 \times \21 = \16.8020\%4 off, it will cost (0.8 \times \25) - \4 = \20 - \4 = \16.00\16.80 - 16.00 = \0.80 = \boxed{80\text{ cents}}$ by taking the better-valued approach.
Final answer
80\text{ cents}