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: 70

Answer

$36$ plants

Work Step by Step

Step 1. Assume the thief stole $x$ number of plants originally. After meeting the first guard, he had $x-\frac{x}{2}-2=\frac{x}{2}-2$ plants left. Step 2. After meeting the second guard, he would have $\frac{x}{2}-2-\frac{x/2-2}{2}-2=\frac{x}{4}-3$ plants left. Step 3. After meeting the third guard, he would have $\frac{x}{4}-3-\frac{x/4-3}{2}-2=\frac{x}{8}-\frac{7}{2}$ plants left. Step 4. Since $\frac{x}{8}-\frac{7}{2}=1$, we have $x=8+28=36$ plants.
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