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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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

Mathematics
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so c. 7?
would you like to learn how to do it?

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yes please. :)
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
you would expect the mixed solution to be the average of 0.30,0.12 (0.3+0.12)/2 = 0.21
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
you would use more for the 0.12 and less for the 0.3 so that our mix is lower
from this we can already reason out the answer
because in your choices there is only one choice that gives you a value that is less than half for the 0.3
so 4.7?
yeah
thank you so much! :)
i can show you how to actually get that value 4.7 too if you are interested in learning
no, thank you. I've gotta continue some other school work :)
okay

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