How many capsules, each containing 250mg, are needed to provide 50mg/kg/day for 10 days for a person weighing 176 pounds?
To calculate the number of capsules needed, we need to follow these steps:
Step 1: Convert the weight of the person from pounds to kilograms.
1 pound is approximately equal to 0.45359237 kilograms.
So, 176 pounds = 176 * 0.45359237 kilograms = 79.832 kilograms (rounded to three decimal places).
Step 2: Calculate the total amount of the medication needed.
The person requires 50 mg/kg/day, and we have already determined their weight to be 79.832 kilograms.
So, the total amount needed per day is 50 mg/kg * 79.832 kg = 3991.6 mg (rounded to one decimal place).
Step 3: Calculate the total amount needed for 10 days.
As the person needs the medication for 10 days, we multiply the daily requirement by 10.
So, the total amount needed for 10 days is 3991.6 mg/day * 10 days = 39916 mg.
Step 4: Determine the number of capsules needed.
Each capsule contains 250 mg of medication.
To calculate the number of capsules needed, we divide the total amount needed by the amount per capsule.
So, the number of capsules needed is 39916 mg / 250 mg/capsule = 159.664.
Since we can't have a fraction of a capsule, we round up to the nearest whole number.
Therefore, the answer is 160 capsules.
Therefore, 160 capsules, each containing 250 mg, are needed to provide 50 mg/kg/day for 10 days for a person weighing 176 pounds.
first you have to convert 176pounds to kg, then we know that 50mg/kg/day
so this person weights 78.2 kg. (176/2.25)
so that means every capsules contain 250mg to cover 4kg of this person.
so this person has to take at least 20pills/day.
:)