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This is how I worked the following problem:
a.) 1 = x
2.2 66
66(1)=2.2(x)
66 = 2.2x
2.2 2.2x
x= 30kg
next I used the formula: mg/kg/day
(50mg) (30kg) = 1500 mg per day
So the answer I came up for a.) is 1500mg per day.
b.) To figue out the dose for q8h you have to divide 24 into 8 which give you 3 times a day. So when you get that, you divide the mg per day which is 1500mg into 3 times a day which will give you 500 mg per dose. So the answer I came up for b.) is 500 mg per dose.
c.) This is the formula that I used to get the flow rate for ml/hr: volume/time=rate
so I divided 100ml into 90 minutes which is 1.5 hours or a hour and thirty minutes which gives me 67 ml/hr. So the answer for c.) is 67 ml/hr
Please let me know if I did the following procedues for this problem accurately!
Good Job Angelica! Absolutely correct, Thank You for including the equations in your answers!
Hello Math Study Group!
Some new math challenges for you today:
250ml of Plasmanate contains 25 g of plasma protein. It is to be administered over 250 minutes. How much drug will be administered per hour?
The Rx is: insulin 100 units in 250 ml of 0.9% NaCL to be infused over 2.5 hours. The IV administration set delivers 30 gtts/ml. What is the flow rate in gtts/minute?
Good Luck!
1. For this problem I used ratio and proportion which is:
total ml = x
total min 1hr
Since the time is given in minutes I change 1hr = 60mins
So this is the set-up:
250ml = x
250min 60mins
250(60) = 250(x)
15000 = 250x
250 250
So the answer is x = 60 ml/hr
2. In this problem I used the following formula IV flow rate which is:
volume(ml) x gtt/ml
time(min)
250ml(30) =
2.5(60)
7500=
150
So the answer I got was 50ml/min.
Hello math study group,
I followed the same method ,but i think ans should be 50gtt/min,
am I right?
Hello Study Group:
Thank you for trying these! Good job!
Question 1: Yes, it is a proportion question. Be careful determining what information you need to answer the question. The following equation should be used to answer the question: How much drug will be administered per hour?
25 grams = x
250 minutes 60 minutes
1500 = 250x
x = 6 grams / 1 hour
Question 2: Again please pay attention to how they want you to express the answer: What is the flow rate in gtts/minute? You can solve this problem using basic dimensional analysis which will help to keep the units in place. Using dimensional analysis the equation would be
250ml x 1 hour x 30 gtts =
2.5 hrs 60 minutes 1 ml
250ml x 1 hour x 30 gtts = the hours cancel, the ml's cancel, which leaves you with gtts/minute
2.5 hour 60 minutes 1 ml
7500 gtts = 50 gtts/minute
150 minutes
Please let me know if you have questions.
Yes, that is correct!
Hello Math Study Group,
Here are some math problems for the weekend:
1. The Rx: dilute 100ml of a 10% topical solution to a 4% solution with SWFI (sterile water for injection). How many ml of sterile water will you need?
Good Luck!
Okay, I see where I made my mistakes! Thank you for the corrections!
V1 X C1 = V2 X C2
100 ml X 10 g /100 ml = V2 X 4 g/100ml
10 g x 100 ml /4 g = 250 ml
ans:so u need to add 250 ml to get the desired concentration
Hello Math Study Group,
More math to tickle your brain:
1. A patient in the hospital needs KCL 8 mEq IV stat. The pharmacy stocks KCL 20 mEq/ml in a 10ml, multidose vial. What is the correct volume of the stat dose?
2. 125 ml of a Cipro 5% suspension contains how many grams of active ingredient?
Good Luck!
This is how I worked out the following two problems:
1. 8mEq = 20 mEq
x 10 ml
8 (10) = 20 (x)
80 = 20x
20 20
4ml = x
2. 5g = x
100ml 125ml
125 (5) = 100 (x)
625 = 100x
100 100
6.25g = x
I hope this is right!
Oh I am so happy to see that there is a math study group.....I am not at the point yet, but when I get there I will be a frequent visitor to this group : )
Hello Angelica,
Good Job! These are correct! Thank You for providing the group with the proportions/ratios/equation to solve the problem.
Hello Math Study Group,
More pharmacy math to challenge you!
1. A patient is prescribed: hydrocodone 5mg /APAP 500mg one tab po bid x 5 days for pain related to kidney stones.
1. What is the trade/brand name of this medication?
2. What drug class does this medication belong to?
2. How many grams of hydrocodone did the patient receive if he took the medication as prescribed?
3. How many grams of APAP did the patient receive if he took the medication as prescribed?
4. Was the amount of APAP taken per day within the daily dosing limits for this medication?
2. A patient is prescribed 200mg trimethoprim/sulfamethoxazole IV for a complicated urinary tract infection. This medication dose is calculated using the trimethoprim concentration. The vial contains trimethoprim 80mg /sulfamethoxazole 400mg per 5ml.
1. What is the trade/brand name of this medication?
2. What drug class does this medication belong to?
2. How many ml should be drawn up to deliver the dose of 200mg?
3. What is the concentration of this medication per ml?
Good Luck!
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