document.write( "Question 1182358: How many ounces of a 40% alcohol solution must be mixed with 12 ounces of a 45% alcohol solution to make a 43% alcohol​ solution? \n" ); document.write( "
Algebra.Com's Answer #812352 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Let x be the volume of the 40% alcohol solution to mix, in ounces.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write the equation for the pure alcohol content in ingredients and in the final mixture\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.4x + 0.45*12 = 0.43*(x+12)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.4x + 0.45*12 = 0.43x + 0.43*12\r\n" );
document.write( "\r\n" );
document.write( "    0.45*12 - 0.43*12 = 0.43x - 0.4x\r\n" );
document.write( "\r\n" );
document.write( "    x = \"%280.45%2A12+-+0.43%2A12%29%2F%280.43-0.4%29\" = 8.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  8 ounces of the 40% alcohol solution should be mixed.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   I will check for the final concentration\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         final concentration = \"%280.4%2A8+%2B+0.45%2A12%29%2F%288+%2B+12%29\" = 0.43.    ! Precisely correct !\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 problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For introductory lessons covering various types of mixture word problems see\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( "    - 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" ); document.write( " \n" ); document.write( "
\n" );