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Basic Computation/s
Part IIIV Drugs & IVF
Chapter 4

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Interpretation/Calculati
ng Medication DosagesRatio – is the relationship of twoquantities
1:10 , 1:25001/10 , 1/2500

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Interpretation/Calculati
ng Medication DosagesRATIO
e.g For every 20 students there is1 teacher. The ratio of teacher tostudents is 1 in 20 or 1:20 or 1/20

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Proportion – formed by using tworatios that are equal
1 = 5 = 2 x 5 = 10 x 12 10
Cross products are equal to10 = 10
½ is equal to 5/10
Interpretation/Calculati
ng Medication Dosages

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ProportionDose ¼ = 3/12
Cross products are 12 = 12
¼ = 3/12

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Example:
The Md orders 20 mg IM of a drugfor a patient. The drug is available in 10
ml vial that contains 50 mg of drug.How many ml will be needed to supplythe dose of 20 mg?Given :1. 10 ml vial2. 50 mg of drug in 10 ml vial3. 20 mg is the desired

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Cont.Ratio 10ml = 1ml
50mg 5mg
Ratio for the required dose x ml20 mgProportion : 1ml = x ml
5mg 20 mg
5 x x = 1 x 205x = 20 x = 4ml ( 20 divided by 5 )

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Example/s:.1. Ampicillin oral susp. 250mg/5ml .
How many ml would be measuredinto a medication syringe to obtaina dose of 75mg of ampicillin?

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Example/s2. Paracetamol 125mg/ 5ml. Howmany ml would be measured into amedication syringe to obtain 15mg of Paracetamol?

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Example/s3. How many ml of Paracetamol IVshould be given to obtain a dose of 15mg in a 15kg-man, if a vialcontains 300mg/2ml of Paracetamol?

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Example/s4. A vial contains 250mg of tetracycline HCl in a total of 2 mlof solution. How many mg of tetracycline HCl are contained in0.6 ml of this solution?

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Systems of
measurement1000 g = 1 kg1000 mg = 1 g1000 ng = 1 mcg1000 ml = 1 L
100 ml = 1 dL

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Systems of
measurementRule: 1
To convert a quantity in the metricsystem to a large metric unit (mgto g) move the decimal point tothe leftSmaller to larger =right to left
Example: 2mg = 0.002g

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Systems of
measurementRule: 2
To convert a quantity to a smallermetric unit, move the decimalpoint to the rightExample: 2.4 l = 2400 ml

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ExamplesConvert 25 g to mgConvert 150 ml to liters

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Apothecary System of
weights based upon the grain , which is thesmallest unit in the systemNitroglycerin 1/100gr, 1/150 grAtropine sulfate 1/200gr. 1/150 grApproximate equivalent
15 grains = 1 gram1grain = 60 mg

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Apothecary System of
weightsConvert 15 milligrams to grains
1 grain = x grain 60 mg 15 mg
60 x = 15x = 15/60
x = .25 grain

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Example:The physician orders 7 ½ grains of aminophylline po for a client. On handare aminophylline tablets 500 mg. Howmany tablets are required for one dose?GIVEN:
1 gram = x gram15 grain 7.5 grain
15 x = 7.5
x = 0.5 g (500mg)

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Example:
How many mg of nitroglycerin arein one 1/150 grain tablet of thedrug?Given:1 gram = x gram15 grains 1/150 grains15 x = 1/150 = .0067
x = 0.0004g = 0.4 mg

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Calculation of
Fractional Doses:ratio and proportion

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Example:
The Md orders 1,000,000 units of Pen Gfor a patient. The pen G on hand is
available as a solution containing250,000 units/ml 250,000 units = 1, 000,000units
1 ml x ml 250,000x = 1,000,000
x = 4 ml

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Example 1:
The physician orders 250 mcg of Vitamin B12 IM daily. The vitaminon hand is labeled 1,000mcg/ml.How many ml should be given tothe patient?

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Example 2:
A patient is to be given 25 mgDiphenhydramine po and isavailable as 12.5mg/5ml prep..How many ml should be given?

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Example 3:
A medication order calls for 750mg calcium lactate to be given TIDPO. On hand are tablets of calciumlactate 0.5 g. How many tabletsshould be given for each dose?

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Calculation of DosagesBased on Weight
The physician ordersthiabendazole chewable tablets fora 110 pound child. Therecommended dosage is 20mg/kg/dose. How many 500 mg
tablets should be given to thispatient for each dose.

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Calculation of DosagesBased on Weight
Convert weight to kg20 mg = x mg1 kg 50 kg
x = 1000 mg
500 mg = 1000mg1 tab x tabx = 2 tablets per dose

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Example:
The recommended dose of Meperidine is 6mg/kg/day for pain.It is given every 4 to 6 hours. Howmany ml of Demerol injection50mg/ml should be administered
to a 33 pound child as a singledose every 6 hours?

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Cont.
Calculate the daily dose for a 33-pound child
6mg/ 1 kg (2.2lb) = x mg / 33 lbx = 90 mg Demerol / day

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Cont.
Calculate the number of ml of demerol injection 50 mg/mlneeded for the daily dose
50 mg/ 1 ml = 90 mg/ x ml

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Cont.
Calculate the number of ml to begiven every 6 hours1.8 ml/ 24 h = x ml/ 6 h24 x = 10.8x = 0.45 ml
a c a ons n o ng

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a cu a ons nvo v ngIntravenousAdministration
How long will it take to completean IV infusion of 1.5 L of D5 Wbeing administered at the rate of 45 drops /min? The IV set iscalibrated to deliver 15 drops/ml.
a cu a ons nvo v ng

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a cu a ons nvo v ngIntravenousAdministration
Determine the number of ml/minbeing infused
Drop rate of IV set =15 gtt/1ml = 45gtt/ x ml
15 x = 45
x = 3 ml/min
a cu a ons nvo v ng

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a cu a ons nvo v ngIntravenousAdministration
Calculate the number of ml/hour
3 ml/min. x 60 min/hr = 180/ hour
a cu a ons nvo v ng

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a cu a ons nvo v ngIntravenousAdministration
Calculate the number of hoursrequired to administer the total
volume of the solution. If 180 ml aredelivered each hour, then how manyhours are required to administer1,500 ml?
180ml/hr = 1,500 ml/hr180 x = 1,500
x = 8.3 hours or 8 hours 20 min.

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Calculations InvolvingPiggyback IV Infusion
An IV piggyback of Cefazolin500mg in 100ml/hour is ordered.
The piggyback IV set is calibratedto deliver 10 gtts.ml. How manydrops/min. should be
administered?

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Calculations InvolvingPiggyback IV Infusion
100 ml/ 60 min. = x ml/ min.60 x = 100
x = 1.7 ml/ min.Flow rate:
Drop rate10 gtt/ min./ 1min. = x gtt/ 1.7 ml X = 17 gtt/ min.

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Calculations InvolvingPiggyback IV Infusion
Daily fluid requirement2000ml of electrolyte solution
administered 24 hours and thatCefazolin sodium 500 mg in 100ml/hr is ordered QID. The number
od ml/day and the times of thepiggybank infusion must besubtracted from the daily fluid