document.write( "Question 1118534: How many ounces each of a 20% acid solution and a 50% acid solution must be mixed together to get 120 ounces of a 30% solution acid? \n" ); document.write( "

Algebra.Com's Answer #733900 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let x be the amount of the 20% solution to mix.\r\n" );
document.write( "\r\n" );
document.write( "Then the amount of the 50% solution is (120 - x) ounces, and as soon as you mix these amounts, you will automatically provide \r\n" );
document.write( "120 ounces of the resulting mixture.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the only thing to care is to provide the required concentration of the mixture.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x ounces of the 20% solution contain 0.2x ounces of the pure acid.\r\n" );
document.write( "\r\n" );
document.write( "(120-x) ounces of the 50% solution contain 0.5*(120-x) ounces of the pure acid.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Finally, 120 ounces of the 30% solution contain 0.3*120 ounces of the pure acid.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, your balance equation is \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.2x + 0.5*(120-x) = 0.3*120.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is your basic equation, and as soon as you got it, the setup is completed.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve the equation, simplify it step by step\r\n" );
document.write( "\r\n" );
document.write( "0.2x + 0.5*120 - 0.5*x = 0.3*120\r\n" );
document.write( "\r\n" );
document.write( "-0.3x = 0.3*120 - 0.5*120\r\n" );
document.write( "\r\n" );
document.write( "-0.3*x = -0.2*120  \r\n" );
document.write( "\r\n" );
document.write( "0.3*x = 0.2*120  ====>  x =  =  = 80.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  80 ounces of the 20% acid should be mixed with 120-80 = 40 ounces of the 50% acid solution.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\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( "    - Typical word problems on mixtures from the archive\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( "Read them and become an expert in solution mixture word problems.\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( "The referred lessons are the part of this textbook in the section \"Word problems\" under the topic \"Mixture problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );