SOLUTION: How many gallons of a 2% acid solution should be mixed with 30 gallons of a 11% acid solution to obtain a mixture that is 8% acid

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Question 732460: How many gallons of a 2% acid solution should be mixed with 30 gallons of a 11% acid solution to obtain a mixture that is 8% acid
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The actual values and items could be anything.

How many gallons, u, of L% solution should be mixed with v gallons of H% solution to obtain a mixture that is T% solution ?

highlight%28%28Lu%2BHv%29%2F%28u%2Bv%29=T%29. Solve for u.
To begin, Lu%2BHv=T%28u%2Bv%29
Lu%2BHv=Tu%2BTv
Lu-Tu=Tv-Hv
You continue this until you have the formula for u...

Once you have a formula for u, you would just substitute the values given in the problem description to find how much is u. The variables are these:

u = how many gallons of the 2% acid
v = 30 gallons of the 11% acid
L = 2%
H = 11%
T = 8%