document.write( "Question 1189616: If 8 percent of an 18-gallon solution is chlorine, how many gallons of water must be added to make a new solution that is 6 percent chlorine?
\n" ); document.write( "A) 6 gallons B) 8 gallons C) 10 gallons D) 12 gallons E) 18 gallons
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #821027 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "If 8 percent of an 18-gallon solution is chlorine, how many gallons of water must be added
\n" ); document.write( "to make a new solution that is 6 percent chlorine?
\n" ); document.write( "A) 6 gallons B) 8 gallons C) 10 gallons D) 12 gallons E) 18 gallons
\n" ); document.write( "~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The amount of chlorine is the same (remains the same) in the original mixture and after diluting.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, if W is the volume of water to add, we have this equation for the chlorine mass\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.08*18 = 0.06*(18+W).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From this equation\r\n" );
document.write( "\r\n" );
document.write( "    0.08*18 = 0.06*18 + 0.06*W\r\n" );
document.write( "\r\n" );
document.write( "    0.08*18 - 0.06*18 = 0.06W\r\n" );
document.write( "\r\n" );
document.write( "        0.02*18       = 0.06W\r\n" );
document.write( "\r\n" );
document.write( "        W =  =  = 6  gallons.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );