Final answer:
To calculate how much medicine a 140 pound woman can have, we first find the per pound dosage from the 146 pound man's allowed 744 mg, and then multiply that dose by the woman's weight of 140 pounds to find her allowed dosage in mg.
Step-by-step explanation:
To determine how much medicine a 140 pound woman can have, based on a 146 pound man being allowed 744 mg in a day, we first need to calculate the dose of medicine per pound of body weight for the man and then apply that dosage to the woman's weight.
The man's dose is 744 mg for 146 pounds. So, the dosage per pound is:
Dosage per pound = 744 mg / 146 lbs
We then give the woman this same dosage per pound for her weight of 140 pounds, which gives us:
Woman's dosage = (Dosage per pound) × 140 lbs
Calculating the above, we will find the exact dosage that the 140 pound woman is allowed to have:
Dosage per pound (from calculation above) × 140 = Woman's dosage in mg
After following these steps, we will get an answer measured in milligrams (mg), determining how much of the medicine the woman can safely consume in a day.