document.write( "Question 149891: How many liters each of a 2% salt solution and an 10% salt solution must be combined to produce 30 liters of a 4% salt solution? \n" ); document.write( "
Algebra.Com's Answer #110000 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! y=liters 2% \n" ); document.write( "x=liters 10% \n" ); document.write( "coefficient=percent\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y+10x=4(30) \n" ); document.write( "2y+10x=120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y+x=30\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So you have two equations: \n" ); document.write( "2y+10x=120 \n" ); document.write( "y+x=30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for y in the second equation \n" ); document.write( "y=30-x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug that into the first equation \n" ); document.write( "2(30-x)+10x=120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute \n" ); document.write( "60-2x+10x=120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms \n" ); document.write( "60+8x=120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 60 from both sides \n" ); document.write( "8x=60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 8 \n" ); document.write( "x=60/8 or 15/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=30-x \n" ); document.write( "y=30-15/2 \n" ); document.write( "y=60/2-15/2 \n" ); document.write( "y=45/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "liters 2%=22.5 \n" ); document.write( "liters 10%=7.5 \n" ); document.write( " |