Drug Dosage/Calculation for Pharm.....?

I took this off my test, I obviously get it wrong... Just wondering if some one can break this down for me and tell me an easier way of calculating it. There are some parts that I know you can leave out, but I dont remember since I took my DDC class a few years rear...

Thanks to anyone who can break this Q down for me....

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Order:
Pediamycin 2mg/kg q 8 hours - via piggy back at a rate of 3mg/min.
Child weighs 35kg

Bottle Reads:
Pediamycin 5mg dilute in 18 ml Sodium Cloride for injection. Displacement will attach 2ml to produce 20ml

Q: How many ml per dose should be administered
A: 280ml

Q: How many minutes?
A: 23 minutes

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Ive been racking my brain and inquiring on line for 'break downs' of DDC's and nothing is helping... Thank you!

Best answer to whom ever explains it best to me!
Answers:
Break this down into individual steps and it's not so bad

1. 2mg/kg q 8 h: The child weigh 35kg, so 35kg*(2mg/kg) equals a 70mg dose q 8 h.

2. When reconstituted the 5mg Pediamycin is in total vol of 20ml, so the final concentration is 5mg/20ml. (disregard all the distractors about displacement and 18ml used to mix).

3. you want a 70mg dose, so 70mg*(20ml/5mg) = 280ml per dose (just remember to invert the concentration to make the mg-units cancel.

4. you need to hold a rate of 3mg/min and you have a 70mg/280ml mixture. 70mg*(1 min/3mg)=23.3 minutes

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