Question 1182912: As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 90 milligrams of Medication A with 108 milligrams of Medication B. However this week, the doctor said to only use 84 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! this is a proportion of 90/108=x/84
you can take a factor of 12 out of both denominators
90/9=x/7
by a variety of ways, including cross-multiplication, x=70 mg of Medication A.
Answer by ikleyn(52879)  (Show Source):
You can put this solution on YOUR website! .
As stated in the post, the problem is AMBIGOUS, since the doctor's instruction does not say "keep the usual proportion of medications".
I'd say it is the doctor's mistake/negligence to formulate his or her prescription/instruction in this way.
Ok, I have nothing against the doctor :) Consider it as my notice to the problem's creator.
How this problem's creator formulates the problem, he / (or she) transforms and presents Math problem as a BAD STYLE puzzle.
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