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Alligation /Alternate. Purpose: An easy method to make a new strength from two existing strengths. Triamcinolone cream is available in strengths of 0.1% and 0.5%. What quantity of 0.1% and 0.5% cream is needed to make 100 grams of 0.2% triamcinolone cream?. Sample Problem.

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Presentation Transcript
alligation alternate

Alligation/Alternate

Purpose:

An easy method to make a new strength from two existing strengths

sample problem

Triamcinolone cream is available in strengths of 0.1% and 0.5%. What quantity of 0.1% and 0.5% cream is needed to make 100 grams of 0.2% triamcinolone cream?

Sample Problem
basic set up

% strength starting material #2 minus % strength desired (absolute value)

% strength starting

Material #1

0.1

0.3

% strength desired (final product)

0.2

% strength starting material #1 minus % strength desired (absolute value)

% strength starting

Material #2

Basic Set Up

0.1

0.5

slide4

% strength starting material #2 minus % strength desired (absolute value)

Value is the # of parts needed of starting material #1

0.3

0.3

Value is the # of parts needed of starting material #2

% strength starting material #1 minus % strength desired (absolute value)

0.1

0.1

Total # of parts needed

0.4

slide5

0.3

0.4

0.75

Value is the # of parts needed of starting material #1

Total # of parts needed

Ratio needed for starting material #1

0.1

0.4

0.25

Value is the # of parts needed of starting material #2

Total # of parts needed

Ratio needed for starting material #2

slide6

75 grams 0.1% cream

0.75

100 grams

Ratio needed for starting material #1

Final amount of product desired

Amount needed of starting material #1

25 grams 0.5% cream

0.25

100 grams

Ratio needed for starting material #2

Final amount of product desired

Amount needed of starting material #2

answer

75 grams 0.1% cream

25 grams 0.5% cream

100 grams 0.2% cream

Answer
example problem

How much of a 20% hydrocortisone (HC) cream and how much of a 5% HC cream would be needed to make 50 grams of a 9% HC cream?

Example Problem
basic set up9

20%

4 parts

9%

5%

11 parts

Basic Set Up
slide10

4 parts

4 parts

11 parts

11 parts

15 parts

slide11

4 parts

15 parts

0.267

11 parts

15 parts

0.733

slide12

0.267

50 grams

13.3 grams

0.733

50 grams

36.7 grams

slide13

13.3 grams of 20% HC cream

36.7 grams of 5% HC cream

50 grams of 9% HC cream

slide14

Created by:

Jeff Sundell &

Doug White

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