# Question 7a027

Jul 14, 2017

$\text{dosage} = 385$ $\text{mg}$

#### Explanation:

We're asked to find the dosage of a certain medication needed for a $170$-$\text{lb}$ patient, if the dosage is $5.00$ $\text{mg/kg}$ body mass.

To do this, we should find the mass of the patient from its given weight of $170$ $\text{lb}$, by using the conversion factor

$\left(1 \textcolor{w h i t e}{l} \text{kg")/(2.205color(white)(l)"lb}\right)$

Therefore, we have

170cancel("lb")((1color(white)(l)"kg")/(2.205cancel("lb"))) = 77.1 $\text{kg}$

The required dosage is

$\left(5.00 \textcolor{w h i t e}{l} \text{mg med")/(1color(white)(l)"kg body mass}\right)$

Using this conversion factor:

77.1cancel("kg")((5.00color(white)(l)"mg med")/(1cancel("kg body mass"))) = color(red)(385 color(red)("mg medication"#