00:01
For this question, we're given that a 36 .5 kilogram dog has been prescribed medication with a strength of 20 milligrams per milliliter at a rate of 6 milligrams per kilogram per day.
00:15
This patient is to receive maintenance fluids at a rate of 40 milliliters per kilogram per day.
00:24
I want to determine what volume of medication is to be added to the one liter fluid bag given that the drip rate in drops is set to deliver 20 gtt per milliliter first step is going to be to calculate the daily dose of medicine for the dog so i know that the dog is 36 .5 kilograms, which i know is prescribed at a rate of 6 milligrams per kilogram per day.
00:56
I need to multiply 36 .5 by 6 milligrams per kilogram per day to get that the daily dose is 219 milligrams.
01:13
Next, i need to convert this dose into volume.
01:16
To do this, start with the fact that i know that the daily dose is going to be 219 milligrams also know that the strength is 20 milligrams per milliliter that means i can multiply this by one milliliter over 20 milligrams since i know that there's a one milliliter per 20 milligrams now notice that milligrams cancel out and i'm left with 219 divided by 20 milliliters so when i compute that get the the volume in milliliters is 10 .95 milliliters.
01:52
Now i need the volume of maintenance fluids.
01:56
So i know that the dog is to receive 20 or rather 40 milliliters per kilogram per day.
02:04
So milliliters per kilogram per day of maintenance fluids.
02:09
And i also know that the dog weighs 36 .5 kilograms.
02:14
So multiply this by 36 .5 kilograms, get a volume of 1 ,460 milliliters.
02:25
Now add these values together to get that the total volume of fluids that the dog needs to be given in one day is 1 ,470 .95 milliliters.
02:44
For the first question, i need to answer, what is the volume of medication to be added to a 1 -liter fluid bag? so i know that 10 .95 milliliters of medication will be in a bag with a total volume of 1 ,470 .95 milliliters.
03:09
But i want to determine how much medication needs to be added to a 1000 milliliter bag since this is one liter.
03:18
So that means i'm going to have a variable x in the numerator and now the next step is going to be to cross multiply.
03:25
This gets us that 10 .95 times 1000 is equal to 1470 .95 x.
03:38
Now just divide both sides by 1470 .95 to get the x is equal to 10 .95 times 1000 divided by 1470 .95...