SOLUTION: Hello, I have a question I need help with. Your time is appreciated. How many gallon of a 5% acid solution must be mixed with 30 gallons of 10% acid solution to obtain a mixture

Question 466582: Hello,
I have a question I need help with. Your time is appreciated.
How many gallon of a 5% acid solution must be mixed with 30 gallons of 10% acid solution to obtain a mixture that is 8% acid?
Thank you
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How many gallon of a 5% acid solution must be mixed with 30 gallons of 10% acid solution to obtain a mixture that is 8% acid?
:
Let x = amt of 5% acid required to accomplish this
:
Write the decimal equiv of the percent acid equation
:
.05x + .10(30) = .08(x+30)
.05x + 3 = .08x + 2.4
3 - 2.4 = .08x - .05x
.6 = .03x
x =
x = 20 gal of 5% acid required
:
:
Check this
.05(20) + .10(30) = .08(20+30)
1 + 3 = .08(50)
4 = 4; confirms our solution
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