document.write( "Question 587391: How many gallons of a 10% acid solution and a 30% acid solution need to be mixed to make 20 gallons of a 22% acid solution? \n" ); document.write( "
Algebra.Com's Answer #374115 by fcabanski(1391)\"\" \"About 
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Set up two equations: the first for the % solution and the second for the amount (gallons). x = gallons of the first solution, and y = gallons of the second solution.


\n" ); document.write( "Gallons: x+y=20 s0 x = 20-y
\n" ); document.write( "Solution: .1x +.3y = .22*20 = 4.4 | Substitute the x value from the first eq: 20-y
\n" ); document.write( ".1(20-y) + .3y = 4.4
\n" ); document.write( "2-.1y+.3y = 4.4
\n" ); document.write( ".2y = 2.4
\n" ); document.write( "y =12


\n" ); document.write( "From the first equation x = 20-y = 20-12 = 8.


\n" ); document.write( "8 gallons of the 10% solution and 12 gallons of the 30% solution.


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