SOLUTION: Mixture Problem: A solution has 60% acid in it, and another solution has 90% acid in it. You take 20 liters of 60% solution, how many liters of 90% solution do you need in order t

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Question 897310: Mixture Problem: A solution has 60% acid in it, and another solution has 90% acid in it. You take 20 liters of 60% solution, how many liters of 90% solution do you need in order to make a solution t
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
...solution t,
What?

Let v= volume of 90% acid to use.
%2820%2A60%2Bv%2A90%29%2F%2820%2Bv%29=t
t would mean, percent acid of the mixture, and you must know what this is. Solving for v is then possible.

20%2A60%2B90v=t%28v%2B20%29
1200%2B90v=t%2Av%2B20t
90v-tv=20t-1200
v%2890-t%29=20t-1200
highlight_green%28v=%2820t-1200%29%2F%2890-t%29%29