## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 363: 105

#### Answer

The healthy weight of the person with height 5’6” is 142 pounds and the calculated healthy weight is 13 pounds below the upper end of the given range.

#### Work Step by Step

Consider the equation as follows: $\frac{W}{2}-3H=53$ Now, substitute the value of $H$as 6 and find the value of $W$. \begin{align} & \frac{W}{2}-3\left( 6 \right)=53 \\ & \frac{W}{2}=53+18 \\ & W=143\ \text{pounds} \end{align} Here, the value of H is in inches over 5 feet. Now, subtract the above value of the weight with the upper end of the given range. We obtain: $155-143=13\ \text{pounds}$ This shows that the calculated healthy weight is 13 pounds below the upper end of the given range. Hence,the healthy weight of the person with height 5’6” is 142 pounds and the calculated healthy weight is 13 pounds below the upper end of the given range.

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