SOLUTION: we currently have 200 gallons of a 70% acidic solution that must be mixed with a solution of 13%acid to create a mixture of 29% acid. How much of the 13% acid do we need to create

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: we currently have 200 gallons of a 70% acidic solution that must be mixed with a solution of 13%acid to create a mixture of 29% acid. How much of the 13% acid do we need to create       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 903031: we currently have 200 gallons of a 70% acidic solution that must be mixed with a solution of 13%acid to create a mixture of 29% acid. How much of the 13% acid do we need to create of solution 29% acid?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
0.13*x+0.7*200=0.29(200+x)
0.13*x+140=58+0.29x
0.13x-0.29x=58-140
-0.16x=-82
x=512.5 gallons of 13% is added to 200 gallons of 70% to get 712.5 oz at 29%
check
0.13*512.5+0.7*200=0.29(200+512.5)
66.625+140=0.29(712.5)
206.625=206.625
ok