SOLUTION: This problem stumped my girlfriend and I please help How many gallons of a 4% acid solution should be mixed with 20 Gallons of a 10% acid solution to obtain a mixture that is 5%

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Question 120409: This problem stumped my girlfriend and I please help
How many gallons of a 4% acid solution should be mixed with 20 Gallons of a 10% acid solution to obtain a mixture that is 5% acid?
Please show work that way I can see what I was doing wrong...
Thank you

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the concentration multiplied by the volume of solution gives the amount of acid
__ the amount should be the same on both sides of the equation

let x="gallons of 4%" __ x(4%)+20(10%)=(20+x)(5%) __ multiplying by 100 clears the percents

4x+200=100+5x __ 100=x