document.write( "Question 1045917: A photographer wants to mix 16 liters of a 7% acetic acid solution with a 12% solution to get a 9% solution. How many liters of 12% solution must be added? \n" ); document.write( "

Algebra.Com's Answer #661431 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A photographer wants to mix 16 liters of a 7% acetic acid solution with a 12% solution to get a 9% solution.
\n" ); document.write( "How many liters of 12% solution must be added?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be the volume of the 12% solution to be mixed.\r\n" );
document.write( "\r\n" );
document.write( "Then the total volume of the liquid will be (16+x) liters.\r\n" );
document.write( "\r\n" );
document.write( "The amount of pure acetic acid in 16 liters of the  7% solution is 0.07*16.\r\n" );
document.write( "The amount of pure acetic acid in  x liters of the 12% solution is 0.12*x.\r\n" );
document.write( "The amount of pure acetic acid in (16+x) liters of the mixture will be (0.07*16 + 0.12*x).\r\n" );
document.write( "\r\n" );
document.write( "The concentration condition for the mixture requires\r\n" );
document.write( "\r\n" );
document.write( " = 0.09*(16+x).\r\n" );
document.write( "\r\n" );
document.write( "It is your equation to solve for x. Simplify it step by step\r\n" );
document.write( "\r\n" );
document.write( "1.12 + 0.12x = 1.44 + 0.09x,\r\n" );
document.write( "\r\n" );
document.write( "0.12x - 0.09x = 1.44 - 1.12,\r\n" );
document.write( "\r\n" );
document.write( "0.03x = 0.32,\r\n" );
document.write( "\r\n" );
document.write( "x =  = .\r\n" );
document.write( "\r\n" );
document.write( "Answer.   liters of the 12% solution must be added.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "For many other solved problems on liquid mixtures see the lessons\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( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on word problems for mixtures\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );