document.write( "Question 1102693: A chemist has a barrel with 15% salt solution and another barrel with a 24% salt solution. If he wants to create 25 gallons of an 18% salt solution, how many gallons of each solution will he need? \n" ); document.write( "
Algebra.Com's Answer #717432 by richwmiller(17219)\"\" \"About 
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We want to know how many gal. at 15% to mix with 24%.
\n" ); document.write( "We need a total of 25 gal. at 18%\r
\n" ); document.write( "\n" ); document.write( "Using the method of alligation.
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document.write( "24         3 1/3*25=8 1/3 gal of 24% solution\r\n" );
document.write( "      18     8 1/3+16 2/3= 25.0 gal of 18% solution\r\n" );
document.write( "15         6 2/3*25=16 2/3 gal of 15% solution\r\n" );
document.write( "           9\r\n" );
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\n" ); document.write( "0.15 * 16 2/3 + 0.24 * 8 1/3 = 0.18*25
\n" ); document.write( "2.5 + 2.0 = 4.5
\n" ); document.write( "4.5 = 4.5
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