My Math Forum Calculating strength of two solutions when mixed

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 December 15th, 2016, 12:03 PM #1 Newbie   Joined: Jan 2011 Posts: 18 Thanks: 0 Calculating strength of two solutions when mixed I'll put it out there right from the start, I'm an MMJ patient and I'm trying to correctly calculate the dose of some medicinal solutions that need to be mixed together. I've done the math, but I wanted to double check if my numbers were correct. Solution A: 66,600mg of essential oils 133.4ml of other ingredients. 200ml total. 333mg/ml Solution B: 153,000mg of essential oils 380ml of other ingredients 733ml total 287mg/ml When Solution A and Solution B are combined what would be the resulting strength in mg/ml?
December 15th, 2016, 12:08 PM   #2
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Quote:
 Originally Posted by GRNDPNDR I'll put it out there right from the start, I'm an MMJ patient and I'm trying to correctly calculate the dose of some medicinal solutions that need to be mixed together. I've done the math, but I wanted to double check if my numbers were correct. Solution A: 66,600mg of essential oils 133.4ml of other ingredients. 200ml total. 333mg/ml Solution B: 153,000mg of essential oils 380ml of other ingredients 733ml total 287mg/ml When Solution A and Solution B are combined what would be the resulting strength in mg/ml?
I assume you mean the strength of the essential oils.

mixing them gets you

$(66,600+153,000) =219,600~ mg$ of essential oils, and

$200 + 733 = 933~ml$ total so you have

$\dfrac{219,600}{933} = 235.37~mg/ml$

December 15th, 2016, 12:13 PM   #3
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 Originally Posted by romsek I assume you mean the strength of the essential oils. mixing them gets you $(66,600+153,000) =219,600~ mg$ of essential oils, and $200 + 733 = 933~ml$ total so you have $\dfrac{219,600}{933} = 235.37~mg/ml$

yeah I screwed that up, I somehow got 427mg/ml .

I'm going to double check what I did.

thanks, it's a good thing I decided to double check this

 December 15th, 2016, 12:21 PM #4 Newbie   Joined: Jan 2011 Posts: 18 Thanks: 0 933ml doesn't seem right. all added together it only comes out to 733ml. 1000mg = 1ml. This is consistent. 219,600mg = 219.6ml 219.6ml +133.4ml +380ml =733 Also, considering the strength of the two solutions, shouldn't the resulting solution come out somewhere above 287mg/ml and below 333mg/ml?
December 15th, 2016, 12:41 PM   #5
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Quote:
 Originally Posted by GRNDPNDR 933ml doesn't seem right. all added together it only comes out to 733ml. 1000mg = 1ml. This is consistent. 219,600mg = 219.6ml 219.6ml +133.4ml +380ml =733 Also, considering the strength of the two solutions, shouldn't the resulting solution come out somewhere above 287mg/ml and below 333mg/ml?
Ok I assumed you meant solution b was 733 ml.

Divide the total amount of essential oils in mg by the total volume in ml and that is the strength number you are after.

 December 15th, 2016, 12:49 PM #6 Newbie   Joined: Jan 2011 Posts: 18 Thanks: 0 that comes out to 297mg/ml I'll try that number out and see if it makes the pain go away, or makes me useless for the next two days lol.

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