Question

Your doctor prescribes you to take 400 milligrams of medicine every 8 hours. How many ounces of medicine do you take in a day?

Answer 1

To find ounces of medicine in a day, as in 8 hours 400 milligrams of medicine is prescribed for this calculate the medicine for 1 hour as per the data from 8 hours. Hence based on this calculate for a day that is for 24 hours. Then convert milligrams to ounces.

Complete step by step answer:
To find the ounces of medicine taken in a day, as per the data given 400 milligrams of medicine is prescribed for every 8 hours, and here we need to find for a day i.e.,
for 24 hours.
Hence let us write the given data from the question stated:
400 milligrams of medicine = 8 hours,
Hence, medicine per hour: $\dfrac{{400}}{8}$= 50 milligrams.
This implies every 8 hours is 3 times per day.
400 milligrams times 3 = 1200 milligrams per day i.e.
$400 \times 3 = 1200$milligrams of medicine.
There are 1000 milligrams in every gram so divide 1200 by 1000 to get the number of grams.
$\dfrac{{1200}}{{1000}} = 1.2$grams per day.
Hence, we get 1.2 grams per day.
Now each ounce is 28.35grams.
Therefore, each gram is $\dfrac{1}{{28.35}}$ grams and
1.2 grams is $\dfrac{{1.2}}{{28.35}}$ ounces i.e.
The conversion factor for grams to ounces:
1 gram = 0.035274 ounces
$1.2\left( {0.035274} \right) = 0.04233$ounces.
And also, by knowing the values of 1 ounce i.e.,
1 ounce = 28349.5 milligrams.
As,
1200 milligrams = $\dfrac{{1200}}{{28349.5}} = 0.0432$ ounces.
Therefore, 0.04233 ounces of medicine in a day.

Note: To convert the value obtained in milligrams to ounces we must know the value of 1 ounce i.e., 28349.5 milligrams, by this we can get the value in ounces. Suppose we have to convert Kilogram into ounces. We have to use this conversion. i.e. 1 kg equal to 35.274 ounces.