The dosage of a cold medication is 2 mg for every 60 lb of body weight. How many milligrams of this medication are required for a person who weighs 195 lb? mg

To find out how many milligrams of the cold medication are required for a person weighing 195 lb, we can set up a proportion based on the given dosage information. The dosage is 2 mg for every 60 lb of body weight. We can set up the proportion as follows: \[\frac{\text{Dosage (mg)}}{\text{Body weight (lb)}} = \frac{2 \text{ mg}}{60 \text{ lb}}\] We need to find the dosage for a person weighing 195 lb. Let \( x \) represent the dosage in milligrams for this person. \[\frac{x \text{ mg}}{195 \text{ lb}} = \frac{2 \text{ mg}}{60 \text{ lb}}\] To solve for \( x \), we can cross multiply: \[ x \text{ mg} = \frac{2 \text{ mg} \times 195 \text{ lb}}{60 \text{ lb}} \] \[ x \text{ mg} = \frac{2 \times 195}{60} \text{ mg} \] \[ x \text{ mg} = \frac{390}{60} \text{ mg} \] \[ x \text{ mg} = 6.5 \text{ mg} \] So, for a person weighing 195 lb, \( 6.5 \) milligrams of the cold medication are required.