Middle School

A patient weighs 195 pounds and requires 279 milligrams of medicine. What is the amount of medicine required by a patient weighing 130 pounds?

Answer :

The amount of medicine required by a patient weighing 130 pounds is 186 milligrams.

To determine the amount of medicine required by a patient weighing 130 pounds based on another patient who weighs 195 pounds and requires 279 milligrams of medicine, we need to use a ratio or direct proportion. We use the information that the first patient requires 279 milligrams of medicine and weighs 195 pounds to find out the milligrams per pound. We then apply this dosage to the weight of the second patient, which is 130 pounds.

Determine the dosage per pound for the first patient: 279 mg / 195 lbs = 1.431 mg/lb.

Calculate the dosage for the second patient: 1.431 mg/lb * 130 lbs = 185.93 mg.

Round the dosage accordingly. Assuming we need to round to the nearest whole milligram, the patient would need 186 milligrams of medicine.

Answer:

186 milligrams

Step-by-step explanation:

195 130

—— ——

279 X

Cross multiply

195x = 36270

——— ————

195 195

X = 186