## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 5 - Ratio and Proportion - Review Exercises - Page 376: 19

#### Answer

Required proportion : $\frac{8.2 grams}{50 pounds} = \frac{x grams}{145 pounds}$ Solution : $x \approx 24$, i.e. 24 grams of medication can be given for the person weighing 145 pounds.

#### Work Step by Step

A medication is given at the rate of 8.2 grams for every 50 pounds of body weight. How much should be given to a 145-pound person? As per the details given: $\frac{8.2 grams}{50 pounds} = \frac{x grams}{145 pounds}$ (Assumed x as a required gms of medication) i.e. $8.2 \times145 = 50 \times x$ (As bot sides have same numerator and denominator) Now, divide both sides by 50, $1189 \div 50 = 50 x \div 50$ $x = 23.78 \approx 24$

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