At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
good lord i am confused already. better take this one real slow
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%
unless they wrote the question carelessly did you notice that they did not say how much of anything there was?
this is were you say "yes, i did notice that"
yes, 20% more than the original 20% is \(20\times 1.3=26\) for sure
now lets imagine there are 100 liters in each flask to make the numbers easy
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.
i don't think so
because when you are done, the total percent alcohol is 26%
so the red flask must have a higher concentration of alcohol than that i find it easiest to work with numbers
I too confused right now xD
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)
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
20 liters came from the brown flask, the other 32 liters came from the red flask
This was way more complicated than I first thought xD
so the red flask had 32 liters or 32%
yeah i can see why it is confusing first because they are using "percent' to mean two different things
crap sorry no one answered for so long i left my desk .
let me read everything
i can condense if if you like
so I know they had 26% but how do you find what's in the red flask?
let me show you an easy trick for these, if it was not clear from what i wrote
you notice that they do not say how much each flask holds right?
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
if you are working with percents, the easiest number to pick is 100
so we say each has 100 liters ok?
the brown one has 20% alcohol that means it contains 20 liters of alcohol
the red one has an unknown number of liters of alcohol, that is what we are trying to find
mix them together, 100 liters + 100 liters is 200 liters
it is 26% alcohol and 26% of 200 is 52, so there are 52 liters of alcohol in the total 200 liters
20 of them came from the brown flask, so the remaining \(52-20=32\) liters came from the red flask
ouuuuuuuuuuuuu i see
that means the red flask had 32 liters of its 100 liters as alcholol
and 32 is 32% of 100 done
nice thanks Satellite!!!!
yw always happy to assist you
btw where did you find this problem?
I needed more practice for mixture problems so i googled it
couldn't find it on google
iono i just came across it