document.write( "Question 1205616: Manuel has 400 mL of a 100% antifreeze solution. how many mL of a 30% antifreeze solution should be added to get a 50% solution of the antifreeze? \r
\n" ); document.write( "\n" ); document.write( "a. 250 mL
\n" ); document.write( "b. 300 mL
\n" ); document.write( "c. 450 mL
\n" ); document.write( "d. 1000 mL
\n" ); document.write( "e. 1500 mL \n" ); document.write( "

Algebra.Com's Answer #842522 by ikleyn(52945) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Manuel has 400 mL of a 100% antifreeze solution.
\n" ); document.write( "how many mL of a 30% antifreeze solution should be added
\n" ); document.write( "to get a 50% solution of the antifreeze?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be the volume of the 30% antifreeze solution to add.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then you have this equation\r\n" );
document.write( "\r\n" );
document.write( "     = 0.5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The denominator id the volume of the mixture; the numerator is the volume of the pure antifreeze.\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve to find x\r\n" );
document.write( "\r\n" );
document.write( "   400 + 0.3x = 0.5*(400+x)\r\n" );
document.write( "\r\n" );
document.write( "   400 + 0.3x = 200 + 0.5x\r\n" );
document.write( "\r\n" );
document.write( "   400 - 200 = 0.5x - 0.3x\r\n" );
document.write( "\r\n" );
document.write( "      200    =    0.2x\r\n" );
document.write( "\r\n" );
document.write( "        x    =    200/0.2 = 2000/2 = 1000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  1000 mL of the 30% antifreeze solution should be added.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture word problem. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is entire bunch of introductory lessons covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions,
\n" ); document.write( "explained at different levels of detalization, from very detailed to very short.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );