document.write( "Question 252635: A 400 gram solution made up of 40% sugar must be added to a 200 gram solution. What should be the percentage of sugar in 200gram of solution in order to produce a 38% sugar solution? \n" ); document.write( "
Algebra.Com's Answer #184655 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! This is your traditional mixture problem. Let's create the table:\r \n" ); document.write( "\n" ); document.write( "sugar . . . % . . . gram . . . %gram \n" ); document.write( "A . . . . . 40 . . .400 . . . . 16000 \n" ); document.write( "B . . . . . X . . . 200 . . . . 200X \n" ); document.write( "MIX . . . . 38 . . .600 . . . . 22800.\r \n" ); document.write( "\n" ); document.write( "I put in the 40% and 400 grams for first sugar as well as the 200 grams for the second sugar. I didn't know % of second sugar, so I call it X. The mixture calls for 38%, so I put it in the mix, % box. 400 grams + 200 grams = 600 grams - the total number of grams in the mix. \n" ); document.write( "% x gram = %gram. \n" ); document.write( "Now, \n" ); document.write( "16000 + 200X = 22800. \n" ); document.write( "200X = 6800 \n" ); document.write( "X = 34%. \n" ); document.write( "So, we need 34% of the 200 gram sugar. \n" ); document.write( " \n" ); document.write( " |