document.write( "Question 146696: Lynn and Laws knew that the confection should be exactly 8% sugar. It was to be made using one component that was 5% sugar and another that was 20% sugar. How much of each should they use to get 800 ml of the confection? \n" ); document.write( "
Algebra.Com's Answer #107138 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! You should take the average: \n" ); document.write( "( 5% * x + 20% * y ) / ( x + y ) = 8% \n" ); document.write( "* x + y = 800 \n" ); document.write( "( 0.05x + 0.2y ) / 800 = 0.08 \n" ); document.write( "* x = 800 - y \n" ); document.write( "( 0.05( 800 - y ) + 0.2y ) / 800 = 0.08 \n" ); document.write( "( 40 - 0.05y + 0.2y ) / 800 = 0.08 \n" ); document.write( "( 40 + 0.15y ) / 800 = 0.08 \n" ); document.write( "40 + 0.15y = 64 \n" ); document.write( "0.15y = 24 \n" ); document.write( "y = 160 \n" ); document.write( "Substitute: y = 160 \n" ); document.write( "x = 800 - y \n" ); document.write( "x = 800 - 160 = 640 \n" ); document.write( "640ml of the 5% and 160ml of the 20% \n" ); document.write( " |