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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    good lord i am confused already. better take this one real slow

  2. anonymous
    • one year ago
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    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%

  3. anonymous
    • one year ago
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    unless they wrote the question carelessly did you notice that they did not say how much of anything there was?

  4. anonymous
    • one year ago
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    this is were you say "yes, i did notice that"

  5. anonymous
    • one year ago
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    Its 26%

  6. anonymous
    • one year ago
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    yes, 20% more than the original 20% is \(20\times 1.3=26\) for sure

  7. anonymous
    • one year ago
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    now lets imagine there are 100 liters in each flask to make the numbers easy

  8. anonymous
    • one year ago
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    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.

  9. anonymous
    • one year ago
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    i don't think so

  10. anonymous
    • one year ago
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    Why exactly?

  11. anonymous
    • one year ago
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    because when you are done, the total percent alcohol is 26%

  12. anonymous
    • one year ago
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    so the red flask must have a higher concentration of alcohol than that i find it easiest to work with numbers

  13. anonymous
    • one year ago
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    I too confused right now xD

  14. anonymous
    • one year ago
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    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)

  15. anonymous
    • one year ago
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    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

  16. anonymous
    • one year ago
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    20 liters came from the brown flask, the other 32 liters came from the red flask

  17. anonymous
    • one year ago
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    This was way more complicated than I first thought xD

  18. anonymous
    • one year ago
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    so the red flask had 32 liters or 32%

  19. anonymous
    • one year ago
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    yeah i can see why it is confusing first because they are using "percent' to mean two different things

  20. anonymous
    • one year ago
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    crap sorry no one answered for so long i left my desk .

  21. anonymous
    • one year ago
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    lol

  22. anonymous
    • one year ago
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    let me read everything

  23. anonymous
    • one year ago
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    welp

  24. anonymous
    • one year ago
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    i can condense if if you like

  25. anonymous
    • one year ago
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    so I know they had 26% but how do you find what's in the red flask?

  26. anonymous
    • one year ago
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    let me show you an easy trick for these, if it was not clear from what i wrote

  27. anonymous
    • one year ago
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    okay

  28. anonymous
    • one year ago
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    you notice that they do not say how much each flask holds right?

  29. anonymous
    • one year ago
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    yea

  30. anonymous
    • one year ago
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    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

  31. anonymous
    • one year ago
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    okay

  32. anonymous
    • one year ago
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    if you are working with percents, the easiest number to pick is 100

  33. anonymous
    • one year ago
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    yea

  34. anonymous
    • one year ago
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    so we say each has 100 liters ok?

  35. anonymous
    • one year ago
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    yea

  36. anonymous
    • one year ago
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    the brown one has 20% alcohol that means it contains 20 liters of alcohol

  37. anonymous
    • one year ago
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    yes

  38. anonymous
    • one year ago
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    the red one has an unknown number of liters of alcohol, that is what we are trying to find

  39. anonymous
    • one year ago
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    yea

  40. anonymous
    • one year ago
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    mix them together, 100 liters + 100 liters is 200 liters

  41. anonymous
    • one year ago
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    hmmmm okay

  42. anonymous
    • one year ago
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    it is 26% alcohol and 26% of 200 is 52, so there are 52 liters of alcohol in the total 200 liters

  43. anonymous
    • one year ago
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    hmmmm okay

  44. anonymous
    • one year ago
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    20 of them came from the brown flask, so the remaining \(52-20=32\) liters came from the red flask

  45. anonymous
    • one year ago
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    ouuuuuuuuuuuuu i see

  46. anonymous
    • one year ago
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    that means the red flask had 32 liters of its 100 liters as alcholol

  47. anonymous
    • one year ago
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    and 32 is 32% of 100 done

  48. anonymous
    • one year ago
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    nice thanks Satellite!!!!

  49. anonymous
    • one year ago
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    yw always happy to assist you

  50. anonymous
    • one year ago
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    btw where did you find this problem?

  51. anonymous
    • one year ago
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    I needed more practice for mixture problems so i googled it

  52. anonymous
    • one year ago
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    couldn't find it on google

  53. anonymous
    • one year ago
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    iono i just came across it

  54. anonymous
    • one year ago
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    Cool

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