# PTCB Pharmacy Calculations #1

#### Calculate the BMI of a patient who weighs 164 pounds and is 187 cm tall.

Explanation:

BMI is calculated by dividing kilograms by meters squared.

As a result, the first step is to convert pounds to kilograms by multiplying pounds by 2.2. After that, we'll have to convert centimeters to meters. We can apply the BMI calculation above by doing both conversions.

74.5 kg = 164 lbs / 2.2

1.87m = 187cm

Because the BMI calculation calls for "meters squared," 1.87 x 1.87 = 3.5 meters squared is the answer.

After we've completed both conversions, we can plug these values into the equation:

74.5 kg/3.5 m squared = 21.3 BMI

Note that the typical BMI range is 18.5 to 25, therefore this patient falls inside that range.

#### Amoxicillin is available in a 25mg/5mL concentration. To make a 2 percent w/v solution, how much medication would have to be added to this concentration?

Explanation:

In 100mL of solution, 2 percent w/v equals 2 grams of active component.

Amoxicillin is available in a 25mg / 5mL concentration. We'll convert 25mg / 5mL to grams because 2 percent w/v is in grams (above).

0.025g in 5mL of solution = 25 mg / 5 mL (convert mg to g by dividing by 1,000).

We can calculate that there are 0.5 grams of medication in 100mL of solution by multiplying by 20.

As a result, in 100mL of solution, the difference is 1.5 grams. In other words, amoxicillin is available in doses of 25mg/5mL, or 0.5 grams per 100mL. As indicated in the question, our goal is 2 grams per 100mL. As a result, there is a 1.5-gram discrepancy between these two numbers.

However, because the concentration was 20 times lower (25mg / 5mL), we must divide 1.5 grams by 20 to get 75mg.

#### 2 tabs po ud q12h x 5d is the number of tablets that should be given to the patient.

Explanation:

The prescription reads: 2 pills, taken orally every 12 hours for 5 days, as indicated.

The patient should be given 2 tablets every 12 hours

= 4 tablets each day x 5 days = 20 tablets.

#### A patient is given 10mL of amoxicillin 200mg / 5mL three times a day. What is the patient's daily dose of amoxicillin?

Explanation:

The patient is given 10mL three times a day, for a total of 30mL each day.

There are 200mg in every 5mL, so a total of 1,200mg must be present in 30mL.

The patient is on a daily dose of amoxicillin of 1,200 mg.

#### The patient must get 1,200 mL of IV liquids during an 8-hour period. How many drops per minute will the patient receive if the calibration rate is set at 8 drops per mL?

Explanation:

A total of 1,200mL of fluid is given to the patient during an 8-hour period, which equates to 150mL every hour (1,200mL / 8 hours).

150mL given over an hour equals 2.5mL each minute (we simply divide 150mL by 60 minutes).

If one mL contains eight drops, 2.5 mL contains twenty drops (2.5 times eight drops = twenty drops).

The rate at which medicine is given to the patient is 20 drops per minute.

#### Which of the following Roman symbols represents 1,416?

Explanation:

M = 1,000; C = 100; D = 500; X = 10; V = 5; I = 1

When a smaller Roman numeral is placed before a higher Roman numeral, the subtraction steps are always performed first:

CD = (100 taken from 500) = 400

The rest is addition: M (1,000) + CD (400) + XVI (16) = 1,416

#### Calculate the ratio strength of 0.4 percent.

Explanation:

0.4 percent is the same as 0.4 percent of a hundred.

As a result, dividing 100 by 0.4 (which equals 250) yields the ratio strength of 1: 250.

Extra credit: see if you can translate 0.7 percent to a ratio strength!

#### If the patient is given the following prescription: amoxicillin 250mg, I cap po bid, dispensing 28, how many days of medicine will be available to them?

Explanation:

Two capsules per day are obtained by taking one capsule twice a day.

The patient is "dispensed 28," which means he or she has a 14-day supply.

#### A pharmacy technician is instructed to distribute 250mL of a solution containing 0.05g of medication per 5mL. How many milligrams of medication are required to fulfill this prescription's requirements?

Explanation:

There are 50 doses in a 250mL solution (250mL / 5mL).

Each 5mL dose contains 0.05 grams (50mg)

As a result, 250mL contains 2,500mg of medicine (50 doses x 50mg).

#### How much Lidocaine is needed to make a 1: 1000, 30 cc Lidocaine solution?

Explanation:

1 gram in 1000cc solution is commonly interpreted as 1: 1000. The following formula can be used to calculate the amount of lidocaine in 30cc of a 1:1000 solution:

= 30 x 1/1000 = 0.03 gm = 30 milligrams.

#### The cost of a pharmacy balance is $49.99. What is the mark-up % value if the pharmacy's cost price is 28.79 per piece?

Explanation:

To begin, we must determine the difference between the two costs: $21.20 = $49.99 – $28.79

Now we double that figure by 100 and split it by the drugstore cost.

73.6 percent mark-up Equals ($21.20 / $28.79) x 100.

The amount added to the cost price of a product to determine the selling price is known as mark-up.

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