Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.4 Linear Inequalities in One Variable - Exercise Set 6.4 - Page 385: 91

Answer

Maximum of 29 bags can be transported in one go.

Work Step by Step

Let x be the number of cement bags. The total weight of the elevator with x bags would be: \[245+95x\] Now, the weight constraint gives rise to the following inequality: \[245+95x\le 3000\] This can be solved as follows: \[\begin{align} & 245+95x\le 3000 \\ & 245+95x-245\le 3000-245 \\ & 95x\le 2755 \\ & \frac{95x}{95}\le \frac{2755}{95} \end{align}\] \[x\le 29\] Maximum of 29 bags can be transported in one go.
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