anonymous
  • anonymous
A brown flask contains a concoction that is 20% alcohol. A red flask contains a concoction with an unknown amount of alcohol. An equal amount of both flasks is poured into an empty jug. If the resulting mixture has an alcohol concentration that is 30% greater than the alcohol concentration of the brown flask, what percent alcohol did the red flask originally contain?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
good lord i am confused already. better take this one real slow
anonymous
  • anonymous
first off the alcohol concentration in the brown flask is 20% now we have to be careful about what the final alcohol concentration is, it is NOT 50%
anonymous
  • anonymous
unless they wrote the question carelessly did you notice that they did not say how much of anything there was?

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anonymous
  • anonymous
this is were you say "yes, i did notice that"
anonymous
  • anonymous
Its 26%
anonymous
  • anonymous
yes, 20% more than the original 20% is \(20\times 1.3=26\) for sure
anonymous
  • anonymous
now lets imagine there are 100 liters in each flask to make the numbers easy
anonymous
  • anonymous
I think it's 26% because the concertation is 30% greater than the brown=23% of alcohol. Then 23% is the average of the brown and the red, so it is 26% for the red flask.
anonymous
  • anonymous
i don't think so
anonymous
  • anonymous
Why exactly?
anonymous
  • anonymous
because when you are done, the total percent alcohol is 26%
anonymous
  • anonymous
so the red flask must have a higher concentration of alcohol than that i find it easiest to work with numbers
anonymous
  • anonymous
I too confused right now xD
anonymous
  • anonymous
say each has 100 liters, the brown flask has 20 liters, of alcohol, the brown one unknown liters of alcohol (that is what we are trying to find)
anonymous
  • anonymous
when you mix them together, you have 200 liters total, and it is 26% alcohol 26% of 200 is 52 so there are 52 liters of alcohol total
anonymous
  • anonymous
20 liters came from the brown flask, the other 32 liters came from the red flask
anonymous
  • anonymous
This was way more complicated than I first thought xD
anonymous
  • anonymous
so the red flask had 32 liters or 32%
anonymous
  • anonymous
yeah i can see why it is confusing first because they are using "percent' to mean two different things
anonymous
  • anonymous
crap sorry no one answered for so long i left my desk .
anonymous
  • anonymous
lol
anonymous
  • anonymous
let me read everything
anonymous
  • anonymous
welp
anonymous
  • anonymous
i can condense if if you like
anonymous
  • anonymous
so I know they had 26% but how do you find what's in the red flask?
anonymous
  • anonymous
let me show you an easy trick for these, if it was not clear from what i wrote
anonymous
  • anonymous
okay
anonymous
  • anonymous
you notice that they do not say how much each flask holds right?
anonymous
  • anonymous
yea
anonymous
  • anonymous
so it doesn't matter if it doesn't matter, then you can pick a number, work with that number, and whatever answer you get will be right
anonymous
  • anonymous
okay
anonymous
  • anonymous
if you are working with percents, the easiest number to pick is 100
anonymous
  • anonymous
yea
anonymous
  • anonymous
so we say each has 100 liters ok?
anonymous
  • anonymous
yea
anonymous
  • anonymous
the brown one has 20% alcohol that means it contains 20 liters of alcohol
anonymous
  • anonymous
yes
anonymous
  • anonymous
the red one has an unknown number of liters of alcohol, that is what we are trying to find
anonymous
  • anonymous
yea
anonymous
  • anonymous
mix them together, 100 liters + 100 liters is 200 liters
anonymous
  • anonymous
hmmmm okay
anonymous
  • anonymous
it is 26% alcohol and 26% of 200 is 52, so there are 52 liters of alcohol in the total 200 liters
anonymous
  • anonymous
hmmmm okay
anonymous
  • anonymous
20 of them came from the brown flask, so the remaining \(52-20=32\) liters came from the red flask
anonymous
  • anonymous
ouuuuuuuuuuuuu i see
anonymous
  • anonymous
that means the red flask had 32 liters of its 100 liters as alcholol
anonymous
  • anonymous
and 32 is 32% of 100 done
anonymous
  • anonymous
nice thanks Satellite!!!!
anonymous
  • anonymous
yw always happy to assist you
anonymous
  • anonymous
btw where did you find this problem?
anonymous
  • anonymous
I needed more practice for mixture problems so i googled it
anonymous
  • anonymous
couldn't find it on google
anonymous
  • anonymous
iono i just came across it
anonymous
  • anonymous
Cool

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