document.write( "Question 256527: cara is preparing an acid solution. She needs 200 milliliters of 48% concentration solution. Cara has 60% and 40% concentration solutions in her lab. How many milliliters of 40% acid solution should be mixed with 60% acid solution to make the required amount of 48% acid solution\r
\n" );
document.write( "\n" );
document.write( "can you please solve it using matrices, when I try it change the problem to a matrix equation, and then try to solve it, but I never get the right answer.\r
\n" );
document.write( "\n" );
document.write( "Thank You!! \n" );
document.write( "
Algebra.Com's Answer #188645 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! This is a mixture problem. Here is the table based on the given information: \n" ); document.write( "ACID . . . . . . . .% . . . . . . . . . .ML . . . . . . . .%ML \n" ); document.write( "60% . . . . . . . . .60 . . . . . . . . . m . . . . . . . .60m \n" ); document.write( "40% . . . . . . . . .40 . . . . . . . .200-m . . . .. 8000-40m \n" ); document.write( "MIX . . . . . . . .. . 48 . . . . . . .. 200 . . . . . . .9600 \n" ); document.write( "In the 3rd column add the first 2 to get the last number. We get \n" ); document.write( "60m + 8000 - 40m = 9600 \n" ); document.write( "20m + 8000 = 9600 \n" ); document.write( "20m = 1600 \n" ); document.write( "m = 80 \n" ); document.write( "200-m = 120. \n" ); document.write( "She needs 120ML of 40% acid. \n" ); document.write( " |