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Apricot

  • one year ago

Faith mixes 14 liters of 12% acid solution with a 30% acid solution to make an 18% acid solution. How many liters of 30% solution did she use? A. 12 B. 4.7 C. 7 D. 21

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  1. dan815
    • one year ago
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    |dw:1436132852685:dw|

  2. Apricot
    • one year ago
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    so c. 7?

  3. dan815
    • one year ago
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    would you like to learn how to do it?

  4. Apricot
    • one year ago
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    yes please. :)

  5. dan815
    • one year ago
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    okay here is something you can get with some intuition so lets say for the 14 liters half of it is the 0.3 solution and half of it is the 0.12 solution

  6. dan815
    • one year ago
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    you would expect the mixed solution to be the average of 0.30,0.12 (0.3+0.12)/2 = 0.21

  7. dan815
    • one year ago
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    and we see that our mixed solution actually has 0.18 which lower than the average, so we cant use 7 liters for 0.3 and 7 liters for 0.12

  8. dan815
    • one year ago
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    you would use more for the 0.12 and less for the 0.3 so that our mix is lower

  9. dan815
    • one year ago
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    from this we can already reason out the answer

  10. dan815
    • one year ago
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    because in your choices there is only one choice that gives you a value that is less than half for the 0.3

  11. Apricot
    • one year ago
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    so 4.7?

  12. dan815
    • one year ago
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    yeah

  13. Apricot
    • one year ago
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    thank you so much! :)

  14. dan815
    • one year ago
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    i can show you how to actually get that value 4.7 too if you are interested in learning

  15. Apricot
    • one year ago
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    no, thank you. I've gotta continue some other school work :)

  16. dan815
    • one year ago
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    okay

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