SOLUTION: solution A is 30% acid and solution B is 60% acid. How many gallons of each solution must be used to create a 60-gallon mixture that is 50% acid? please write the representation of

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: solution A is 30% acid and solution B is 60% acid. How many gallons of each solution must be used to create a 60-gallon mixture that is 50% acid? please write the representation of      Log On

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Question 351633: solution A is 30% acid and solution B is 60% acid. How many gallons of each solution must be used to create a 60-gallon mixture that is 50% acid? please write the representation of this problem.
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Let x be the 'total' amount of the 30% solution. then the 'total' amount of the 60% solution would be (60gal - x)
.
Question states;
.30x + .60(60gal - x) = .50*60gal
.
Solve for x and then determine the value (60gal- x),as well.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
t = amount of 30%
s = amount of 60%
----------------
t + s = 60 (total solution)
0.3t + 0.6s = 0.5*60 (acid)
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2 eqns in 2 unknowns. You can finish it