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KCC's Quizzes AQQ297 about taking the right dose of medication

1. First, the quote of the month: "All my life I though air is free until I bought a bag of chips" - unknown

2. New quiz AQQ297 about taking the right dose of medication:

A person has a rare medical condition. Every day, he must take a dose of 1 tablet of
medicine A and 1 tablet of medicine B. If he misses the right dose, he can be in
danger. Unfortunately, the tablets look identical.
He was enjoying a vacation when bad luck strikes. With 2 days left, he clumsily drops
the 4 remaining tablets on the floor and they get mixed up.
There is no way to get more medicine.
Questions:
1. How should he proceed to still be able to take his medicine correctly?
2. If the situation is 3 days left

Good luck and try to be among the first ones!

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  • It depends on whether an over-dose of either A or B is also dangerous.  Let's assume it isn't.

    1.  3 pills on day 1, 1 pill on day 2.

    2.  4 pills on day 1,  2 on day 2, and none on day 3.

    I haven't bothered to calculate actual probabilities here.  This reply is simply intuition. 

  • For the two day/four pill answer, he can cut all the pills in half, taking care to separate the halves into groups so he has one group of top halves and one group of bottom halves. He can then take one group each day and be assured of getting the correct dosage each day.

    For the three day situation, I assume there would also be six pills? If so, if he can figure out how to cut the pills into three equal pieces, he could separate them into three groups of thirds, top, middle, and bottom thirds, and then take one group each day.

  • 1. You divide all the tables in 2 and take a half tablet from each of the four.

    2. Same as above, but you divide by 3 and take 1/3 from each tablet

  • 1. Divide each pill in equal half. Take half from each pill on both days
    2. Divide each pill in equal three parts. Take 1/3rd from each pill on 3 days

  • 1) Crush all four pills, mix thoroughly, then take half one day and the rest the following day.

    2) Crush all six pills, mix thoroughly, then take 1/3 one day, 1/3 the next day, and the remaining third on the last day.

    In my experience, trying to cut pills in half or in thirds is difficult so I recommend crushing them.

  • I edited this comment after its first posting.

    Call your Dr. to review your plans. Timed released or coated pills might be spoiled by division or crushing.

    2-day solution 

    Divide each pill two ways into two piles.  Each pile will then hold half of each type pill, which is the equivalent of one whole pill of each type.  Take a pile daily.

    3-day solutions 

    a. Similar to 2 days solution, but instead divide each pill three ways into three piles.  Each pile will contain only 2/3 of the prescribed dose, but pills are manufactured in a limited number of sizes, which limits how precisely the doctor can prescribe your dose.  2/3 of the prescription may suffice, or at least be better than running out of pills after two days.  Check with your doc first.

    b. If you plan to arrive HOME sometime on the third day, follow the 2-day method for the first 2 days, and take your third dose from home stock, before the clock strikes midnight and you would otherwise turn into a pumpkin.

    c. Use the 2 day solution, but move at relativistic speed, so your body needs only two doses during the three days.  Check with NASA, Elon, JPL or CERN first.

  • 1. Since there are two type A and two type B medications, the four pills are separated and each is cut in half. Then, half of each of the four pills is taken, allowing the prescribed dose to be safely met by taking half one day and the remainder the next.

    2. If this situation occurs three days before the end of the course, I propose the following solution: Go to a pharmacy and ask them to divide each pill into three equal parts by weight, verifying the division with a precision scale. Then, combine the six thirds for each of the three remaining days.

  • Thanks  for your prompt reply... But, in effect, over-dose could be also dangerous... A very safe way is to break all the 4 pills in two (and keep the 2 sets of 4 half pills for the 2 consecutive days. Doing so, you are sure to take exactly 1 full A and 1 full B on both days!

  • Right  ! Fully correct (the break of all the 4 pills in two part). For question 2, yes, there will be 3 pills. Each has to be broken in 3 equal parts