document.write( "Question 365378: Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together.\r
\n" ); document.write( "\n" ); document.write( "The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use?
\n" ); document.write( "

Algebra.Com's Answer #260462 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let x be the amount of 24% solution, y the amount of 50% solution.
\n" ); document.write( "1.\"x%2By=100\"
\n" ); document.write( " .
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"24x%2B50y=36%28100%29\"
\n" ); document.write( "2.\"12x%2B25y=1800\"
\n" ); document.write( "Multiply eq. 1 by -12 and add to eq. 2,
\n" ); document.write( "\"-12x-12y%2B12x%2B25y=-1200%2B1800\"
\n" ); document.write( "\"13y=600\"
\n" ); document.write( "\"highlight%28y=600%2F13%29\"gallons
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( "\"x%2B600%2F13=100\"
\n" ); document.write( "\"highlight%28x=700%2F13%29\"gallons
\n" ); document.write( "
\n" );