MATH
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, Complex / Doris Turner Med Math Questions
1. Problem type: IV infusion rate + infusion
pump Medication: azithromycin
PROBLEM
Suppose Mrs. Turner’s orders call for 500 mg of azithromycin to be
administered intravenously for communityacquired pneumonia. The solution
has been diluted to a concentration of 2 mg/mL and needs to be administered
over 1 hour.
At what rate should the infusion pump be
set? HINT
Start by figuring out how many milliliters will be needed to administer the
ordered dose. SAMPLE SOLUTION
1. Determine how many milliliters of the concentration will be delivered
to administer the ordered dose.
500 mg x 1 mL = 250
mL 2 mg
2. Divide the total number of mL needed to deliver the 500 mg by
the expected duration of 1 hour.
250 mL = 250 mL/hr
1 hr
ANSWER
Number: 250
Units / Rate: mL/hr
, 2. Problem type: Dosage calculation + Stock on
hand Medication: venlafaxine
PROBLEM
Mrs. Turner’s daily medications include venlafaxine extendedrelease, 150
mg, by mouth, once a day. However, the hospital pharmacy only carries 75
mg extendedrelease tablets.
How many tablets of venlafaxine extendedrelease should be administered to
her? HINT
You can use the equation below, where X is the number of tablets that should
be administered.
D (ordered dose) x Quantity
= X H (dose on hand)
SAMPLE SOLUTION
1. Determine what information you have.
D (ordered dose) = 150
mg H (dose on hand) =
75 mg Q (quantity) = 1
tablet
2. Plug into the equation and solve.
D (150 mg) x 1 tablet
= X H (75 mg)
X=2
tablets
ANSWER
Number: 2
Units:
tablets