Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.8 - Modeling with Equations - Exercise Set - Page 125: 66

Answer

$200$ dollars.

Work Step by Step

Step 1. Assume the original price is $x$ dollars; the first $40\%$ reduction will result in a new price of $x-0.4x=0.6x$ Step 2. The second $40\%$ reduction on the reduced price will result in the final price of $0.6x-0.4\cdot 0.6x=0.36x$ Step 3. Since the final price is $72$ dollars, we have $0.36x=72$ and $x=200$ dollars.
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