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math calculations with oral solution (1)

Calculate the total quantity and the total days supply for the following Rx:
Orapred 15mg/5mL sol
1.5 tsp bid for 5 days
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The doctor has prescribed Orapred 15mg/5mL oral solution. But, most pharmacists will dispense the generic version Prednisolone sodium phosphate 15mg/5mL oral solution.
This medication was prescribed to a child.
The sig says: give 1.5 teaspoonsful by mouth twice daily for 5 days
We know that 1 tsp = 5 mL
The child will be given 1.5 * 5mL * 2 daily * 5 days, that is, the child will be given 75 mL
Then, the total quantity to be dispensed is 75 mL
The total days supply is 5 days as stated by the doctor.
Calculate the total quantity and the total days supply for the following Rx:
Orapred 15 mg/5 mL
sig: 20 mg bid x 4 days
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The doctor has prescribed Orapred 15mg/5mL oral solution. But, most pharmacists will dispense the generic version Prednisolone sodium phosphate 15mg/5mL oral solution.
The sig says: take 20 mg by mouth twice daily for four days
This drug is a liquid and, in turn, we need to convert 20mg into milliliters (mL)
The ratio is 15mg/5mL
Notice that 15mg/5mL is the same as 5mL/15mg
x / 20 mg = 5 mL / 15 mg
x = (20mg * 5mL) / 15mg
x = 6.7 mL
The final sig will say: take 6.7 mL by mouth twice daily for four days
The quantity to be dispensed will be 6.7 * 2 * 4, which is 53 mL
The days supply is 4 days as stated by the doctor.
Calculate the total quantity and the total days supply for the following Rx:
Orapred 15 mg/5 mL
sig: 20 mL = 60 mg po qday x5d
disp: QS x 5d
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The doctor has prescribed Orapred 15mg/5mL oral solution. But, most pharmacists will dispense the generic version Prednisolone sodium phosphate 15mg/5mL oral solution.
The total days supply is 5 days as stated by the doctor.
The sig says: take 20 mL by mouth every day for 5 days
The quantity to be dispensed will be 20 * 5, which is 100 mL
In reality, this is a pretty complicated prescription. There was no reason for the doctor to have written 60 mg because the doctor has clearly stated the dosage of 20 mL
Calculate the total quantity and the total days supply for the following Rx:
Citalopram oral solution
20 mg po qam
#1 month supply
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The doctor has prescribed the generic drug Citalopram 10mg/5mL oral solution.
The sig says: take 20 mg by mouth every morning
But, this medicine is a solution and, in turn, we need to convert 20mg into mL
The ratio is 10mg per 5mL, that is, 10mg/5mL
Notice that 10mg/5mL is the same as 5mL/10mg
x / 20 mg = 5 mL / 10 mg
x = (20mg * 5mL) / 10mg
x = 100 / 10
x = 10 mL
So, the final sig directions will say: take 10 mL by mouth every morning
The patient will take 10 mL per day.
The doctor wants the pharmacist to dispense enough medicine to last 30 days.
So, the total quantity to be dispensed will be 10 * 30 which is 300 mL
The total days supply is 30 days as stated by the doctor.
Calculate the total quantity and the total days supply for the following drug:
Tylenol children liquid #60 mL
3/4 q6h prn
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This medication can be filled inside the pharmacy or it can be picked up over the counter.
The total quantity to be dispensed is 60 mL as stated by the doctor.
Some pharmacists may dispense the generic version Acetaminophen 160mg/5mL oral solution. But, other pharmacists may dispense the generic drug Q-Pap 160mg/5mL liquid.
The sig says: give 3/4 teaspoonful by mouth every 6 hours as needed
So, the child will be given 3/4 teaspoonful four times daily as needed.
Notice that 1 tsp = 5 mL
In other words, the child will be given 3/4 * 5 * 4 which is 15 mL per day.
The total days supply will be 60 mL divided by 15 mL which is 4 days.
Calculate the total quantity and the total days supply for the following Rx:
Digoxin pediatric solution 50mcg/mL
10 mcg/kg/day
the child weighs 10 pounds
30-day supply
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The doctor has prescribed Digoxin pediatric solution, which is available in a concentration of 50 mcg/mL (0.05mg/mL).
First, the child weighs 10 pounds. Then, we need to convert 10 pounds to kilogram.
We know that 1 kilogram (kg) = 2.2 pounds (lb)
x / 10 pounds = 1 kg / 2.2 pounds
x = (10 pounds * 1 kg) / 2.2 pounds
x = 10 kg / 2.2
x = 4.54 kg
Now, the child weighs 4.54 kg
The sig says: give 10 mcg per kg daily
This drug is in a liquid form and thus we need to convert 10mcg to mL
The ratio given above is 50mcg/mL, that is, 1mL/50mcg
x / 10mcg = 1mL / 50mcg
x = (10mcg * 1mL) / 50mcg
x = 10 mL / 50
x = 0.2 mL
The child will take 0.2 mL per kilogram.
We know that the child weighs 4.54kg and, in turn, the child will be taking 0.2mL * 4.54kg = 0.9mL
Therefore, the child will be taking 0.9 mL daily
In turn, the final sig will say: give 0.9 mL by mouth daily for 30 days
Now, we need to calculate the total quantity to be dispensed.
The total quantity will be 0.9mL * 30 days which is 27mL
The total days supply is 30 days as stated by the doctor.





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