SOLUTION: Tobramycin Eye Suspension, 1 drop into each eye 3 times daily, 10ml bottle. What is the day supply (20gtts/mL)…. Show work please

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Question 1204847: Tobramycin Eye Suspension, 1 drop into each eye 3 times daily, 10ml bottle. What is the day supply (20gtts/mL)…. Show work please

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You mean asking, what number of days will the 10 ml. bottle be?
How many ml. is 1 drop? 20 drops per milliliter?

The volume used is this part removed.

2%28drops%2Fsession%29%2A3%28sessions%2Fday%29=6%28drops%2Fday%29

Expecting 20 drops to be 1 ml.
The bottle volume of 10 ml. is 10%2Aml%2A20%28drops%2Fml%29=200%2Adrops.

How many days is that 10 ml. or 200 drops of Tobramycin?
200%2Adrops%2A%281%2F6%29%28day%2Fdrops%29=100%2F3=33%261%2F3 days

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Tobramycin Eye Suspension, 1 drop into each eye 3 times daily, 10ml bottle. What is the day supply (20gtts/mL)…. Show work please
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        The question is worded  BOTH  terribly and incorrectly.
        A correct formulation is this  " For how many days this supply will last ? "
        I will solve the problem in this modified formulation.


1 drop = 1%2F20 milliliters, or 1 milliliter = 20 drops  

    (as given in the problem and is consistent 
     with the standard conversion factor).


So, 10 mL in the bottle are equivalent to 10*20 = 200 drops.  

    Thus, your supply in the bottle is 200 drops. 


Every time you use 1 + 1 = 2 drops for  (1+1) = 2 two/both your eyes.

So, you can treat your eyes  200 : 2 = 100 times.


Each treatment covers 8 hours.

100 treatments will cover 8*100 = 800 hours.


One day in this context is 24 hours.


So, the number of days is  800%2F24 = 33 1%2F3.


Thus, one bottle supply is enough for full 33 days.
At the end of the 33-th day, you will make the last treatment,
and its action will continue (will last) first 8 hours on the day 34.

Solved.

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This solution, which you see in my post, teaches you to think logically, to make calculations accurately,
to use right words and to connect them in proper order to form right readable sentences.