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IV Math question

by Patricia Young
(Pasadena)

An IV has been ordered to run for 4 hours at 10gtt/min with a drop factor of 20ggt/ml. The solution in the bag is 750mg of active drug dissolved in 5L of D5NS. How many mg of the active drug will the patient receive in two hours?

the answer is 90mg.

Could someone help me?

Comments for IV Math question

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Math question
by: Patricia

I'm sorry I made a mistake, it is 0.5L instead of 5L.
Heres my thoughts
by: Anonymous

I just passed the PTCB exam using this website along with a study book and another website to gain maximum practice, knowledge and strategies. The questions on here are actually more complex (not really harder) than the actual exam.

After working it out myself I came to answer of 36.9mg in 2 hours.

Ive also noticed that sometimes the answer to the exams are there, but the website has the wrong answer choice/letter selected (I researched some of the answers). See if 36.9mg was an answer choice. IF NOT I'm confused to. I'm going to keep reworking the problem for my knowledge.

If 36.9mg IS AN ANSWER CHOICE....reply/post back and I will show you how I arrived at that answer.
Did you post the question wrong?
by: Anonymous

BTW - THIS QUESTION IS NOT IN ANY OF THE PRACTICE OR REGULAR EXAMS - WAS POSTED BY A VISITOR.

ANYHOW, HERE'S THE MATH:

2 hours = 120 minutes

(120min) x (10gttmin) = 1200gtt infused

1200gtt
--------- = 60mL
20gtt/ml


- x - - - - 750mg
------ = ---------
- 60mL - - 5000mL

X = 9mg

The answer is 9mg

**ARE YOU SURE THAT IT WASN'T 0.5L OF D5NS?***
Here' my thoughts post
by: Anonymous

Yes, please show how you got that?
IV Math question
by: Anonymous

Can someone post a process correctly and completely done? This example is not complete and is confusing.y
Problem Re-Typed
by: Anonymous

An I.V. drip has been ordered to run: 4hrs at 10gtt/min with a drop factor of 20gtt/ml. The sol. in the bag is 750mg of drug dissolved in .5 of D5NS. How many mg of the active drug will the patient receive in 2hours?
My decision
by: Anonymous

Using the formula-gtt/min=volume*flow set (gtt/ml)/min (hour)_________-________-

1. How many ml we will spend for 2 hours

10 gtt/min=x ml*20 gtt/ml/ 2hours*60 min
x=10*2*60/20
x=1200/20
x=60 ml

2. How many mg in 60 ml

0,5L=500 ml
500 ml- 750 mg
60 ml-x mg

x=60*750/500
x=45000/500
x=90mg
easier method
by: Anonymous

750/500*20=.075
(multiplying the denominator by the 20 converts the drops/ml to drop/mg)

then:
.075*10 (drop factor)=.75


then account for time:
.75*120minutes=90
another way
by: Brad Wojcik, Pharm D

I think it is best to set the problem up with all of your units so that you can be sure you have done it correctly and so that someone else can check your work easily. You are starting with hours and have to end up with mg.

2h(60min/h)(10gtt/min)(1ml/20gtt)(750ml/0.5L)(1L/1000ml)= 90 mg
Listen to Dr. Brad
by: Anonymous

He's always right.
Watch his YouTube videos for tutorials.
confused
by: confused

Can someone show a different way to solve this problem ?
the answers is 90mg
by: Anonymous IG16

mg/h=750mg/500mlx1ml/20gttx10gtt/1minx60min/1hx2
mg/l =90mg
Simple Steps to Follow
by: Anonymous

(4 hrs) x (60 mins / 1 hr) x (10 gtts / min) x (mL / 20 gtts) x (750 mg / 500 mL) = 180 mg

180 is for 4 hours. Divide by 2 to get 2 hours.

180mg / 2 = 90 mg
iv
by: Anonymous

step 1. find total drops

10gtt/min * 240 min (4hrs) = 2400 gtt

step 2. find ml

20gtt/?ml = 2400gt
2400gtt/20gtt = 120ml

step 3.

750mg/500ml = 1.5mg/ml * (120ml/2 which is 60mg) since it's asking for a 2hr period

= 90ml

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