Thinking Mathematically (6th Edition)

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

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 364: 112

Answer

The moon weight of a person who weighs 186 pounds on Earth is 31 pounds.

Work Step by Step

Consider the proportional relation between the moon weight and the Earth weight of an object. Because, the object with 360 pounds weight on Earth has 60 pounds weight on moon. So, the object with 1 pound weight on Earth will have $\frac{60}{360}\ \text{pounds}$weight on moon. This shows that the object with 186 pounds weight on Earth will have $\left( \frac{60}{360}\times 186 \right)\ \text{pounds}$weight on moon. It is solved as, $\begin{align} & W=\frac{60}{360}\times 186 \\ & =31\ \text{pounds} \end{align}$ The moon weight of a person who weighs 186 pounds on Earth is 31 pounds.
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