document.write( "Question 219053: 3 qt. of a sugar solution was mixed with 4 qt. of a 4% sugar solution to make a 40% sugar solution. Find the percent concentration of the first solution. \n" ); document.write( "
Algebra.Com's Answer #164857 by ptaylor(2198)\"\" \"About 
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\n" ); document.write( "Let x=the percent sugar in the 3qt solution
\n" ); document.write( "Now we know that the amount of pure sugar in the 3qt solution (3x) plus the amount of pure sugar in the 4qt solution (0.04*4) has to equal the amount of pure sugar in the final solution (7*0.40), so our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "3x+0.04*4=0.40*7 simplify
\n" ); document.write( "3x+0.16=2.8 subtract 0.16 from each side
\n" ); document.write( "3x+0.16-0.16=2.8-0.16 collect like terms
\n" ); document.write( "3x=2.64 divide each side by 3
\n" ); document.write( "x=0.88 or 88%----the percent sugar in the 3qt solution\r
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\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "3*0.88+4*0.04=0.40*7
\n" ); document.write( "2.64+0.16=2.80
\n" ); document.write( "2.80=2.80\r
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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