Dont let percentages fool you Percentages are just ratios in disguise Percentages There are 3 types of percentages in pharmacy calculations Percent weightinweight ww Percent volumeinvolume vv ID: 777343
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Slide1
Percentage Calculations
Slide2Percentage Calculations
Don’t let percentages fool you! Percentages are just ratios in disguise!
Slide3Percentages
There are 3 types of percentages in pharmacy calculations:
Percent weight-in-weight (w/w)
Percent volume-in-volume (v/v)Percent weight-in-volume (w/v)The units of these percentages will ALWAYS be GRAMS or ML
Slide4Percentage Calculations
Immediately, when you see a percentage, change it to a ratio. It’s always going to be the percentage number over 100.
Example:
3% = 70% =
97% =
Percentage Calculations
The difficult part will be interpreting which
type
of percentage it is, so you can determine which units to use!Percent weight-in-weight (w/w)Will always be
Percent volume-in-volume (v/v)Will always be
Percent weight-in-volume (w/v)Will always be
Percentage Calculations
Interpreting the
type
of percentage can only be done with practice. So, let’s do some practice problems- together!
Slide7Question #1
Iodine tincture is available as a 2% solution of iodine. How many grams of iodine will be contained in 40 mL of tincture?
Slide8Answer #1
Iodine tincture is available as a 2% solution of iodine. How many grams of iodine will be contained in 40 mL of tincture?
X = 0.8 grams
Question #2
You have 25 grams of a drug and need to compound a 30% solution.
How many mL will you prepare?
Slide10Answer #2
You have 25 grams of a drug and need to compound a 30% solution. How many mL will you prepare?
X = 83.3 mL
Question #3
You add 80 grams of a drug to 600 mL of sterile water. What is the percentage strength of the solution prepared?
Slide12Answer #3
You add 80 grams of a drug to 600 mL of sterile water. What is the percentage strength of the solution prepared?
X = 13.33 grams
13.3%
Question #4
You have an order for 2 g of calcium gluconate to add to a 1000 mL bag of 5% dextrose injection. The label on the calcium gluconate vial gives the concentration as 10% and 0.465
mEq
/mL. How many mL of calcium gluconate will you need to use?
Slide14Answer #4
You have an order for 2 g of calcium gluconate to add to a 1000 mL bag of 5% dextrose injection. The label on the calcium gluconate vial gives the concentration as 10% and 0.465
mEq
/mL.
How many mL will you need to use?
X = 20 mL
Question #5
The technician is to prepare 30 mL of a 20% solution using 300 mg tablets. How many tablets are needed?
Slide16Answer #5
The technician is to prepare 30 mL of a 20% solution using 300 mg tablets. How many tablets are needed?
X = 6 grams
6000 mg = 300mg (x)
X = 20 tablets
Question #6
You have on hand 500 mg of a powder. How many mL of a 2% solution can you prepare?
Slide18Answer #6
You have on hand 500 mg of a powder. How many mL of a 2% solution can you prepare?
500 mg = 0.5g
X = 25 mL
Question #7
Devonex
is a topical ointment available in a 0.005% concentration. How many mg of the active ingredient are contained in 60g?
Slide20Answer #7
Devonex is a topical ointment available in a 0.005% concentration. How many mg of the active ingredient are contained in 60g?
X = 3 mg
Question #8
Devonex
is a topical ointment available in a 0.005% concentration. How many mg of the active ingredient are contained in 60g?
Slide22Answer #8
Devonex is a topical ointment available in a 0.005% concentration. How many mg of the active ingredient are contained in 60g?
X = 3 mg
Question #9
You have in stock a 30 mL vial of 23.4% concentrated sodium chloride injection. How many grams of sodium chloride are in the vial? How many mg are in 1 ml?
Slide24Answer #9
You have in stock a 30 mL vial of 23.4% concentrated sodium chloride injection. How many grams of sodium chloride are in the vial? How many mg are in 1 ml?
X = 7.02 grams/30 mL
234 mg/1 mL
Question #10
Hydrocortisone topical cream is available as a 0.2% concentration in 454 grams. How many mg of hydrocortisone are in the product?
Slide26Answer #10
Hydrocortisone topical cream is available as a 0.2% concentration in 454 grams. How many mg of hydrocortisone are in the product?
X = 0.908 grams = 908 mg
Question #11
A medication is available as 1 g/3 mL in 20 mL vials. Express this drug concentration as a percentage strength.
Slide28Answer #11
A medication is available as 1 g/3 mL in 20 mL vials. Express this drug concentration as a percentage strength.
X = 33.3%
Question #12
A physician orders 450 mcg of a medication. The med is available as a 0.025% solution. How many mL will be required to fill the order?
Slide30Answer #12
A physician orders 450 mcg of a medication. The med is available as a 0.025% solution. How many mL will be required to fill the order?
X = 1.8 mL
Question #13
You need to prepare 750 mL of a 1:500 w/v potassium permanganate solution. How many grams are needed?
Slide32Answer #13
You need to prepare 750 mL of a 1:500 w/v potassium permanganate solution. How many grams are needed?
X = 1.5 grams
Question #14
A 1:50,000 lidocaine solution is to be given to a patient. What is the concentration of the solution in mcg/mL?
Slide34Answer #14
A 1:50,000 lidocaine solution is to be given to a patient. What is the concentration of the solution in mcg/mL?
X = 0.00002 grams
X = 20 mcg/mL
Question #15
A technician is to add 1.2 mg of a drug to a 25 mL bag of 5% dextrose injection. On hand is a 2 mL ampoule of a 1:1,000 w/v solution. How many mL should be added to the bag?
Slide36Answer #15
A technician is to add 1.2 mg of a drug to a 25 mL bag of 5% dextrose injection. On hand is a 2 mL ampoule of a 1:1,000 w/v solution. How many mL should be added to the bag?
X = 1.2 mL
Question #16
A technician is asked to prepare 350 mL of a 22% boric acid solution from a 50% boric acid solution and purified water. How many mL of 50% solution and water will be needed?
Slide38Answer #16
A technician is asked to prepare 350 mL of a 22% boric acid solution from a 50% boric acid solution and purified water. How many mL of 50% solution and water will be needed?
50
22
22
0
28
= 50 total parts
Slide39Question #17
Stock solutions of 27% and 31% are available in the pharmacy. How many mL of each stock solution are needed to prepare 2 L of a 29% solution
Slide40Answer #17
Stock solutions of 27% and 31% are available in the pharmacy. How many mL of each stock solution are needed to prepare 2 L of a 29% solution
31
2
29
27
2
= 4 total parts
Slide41Question #18
An order for 6 L of 0.9% sodium chloride solution is to be prepared from 23.4% concentrated
NaCl
solution and sterile water for injection. How many mL of each should be used?
Slide42Answer #18
An order for 6 L of 0.9% sodium chloride solution is to be prepared from 23.4% concentrated
NaCl
solution and sterile water for injection. How many mL of each should be used?
23.4
0.9
0.9
0
22.5
= 23.4 total parts