document.write( "Question 1184584: Two metal alloys, containing 6% zinc and 16% zinc are to be mixed together. How much of each is needed to get to 150 kg of an 14% zinc alloy? \n" ); document.write( "

Algebra.Com's Answer #815208 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Two metal alloys, containing 6% zinc and 16% zinc are to be mixed together.
\n" ); document.write( "How much of each is needed to get to 150 kg of an 14% zinc alloy
\n" ); document.write( "~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "x kilograms of the 16% alloy and\r\n" );
document.write( "\r\n" );
document.write( "(150-x) kilograms of the 6% alloy.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total zinc in two alloys is  0.16x + 0.06*(150-x) kilograms.\r\n" );
document.write( "\r\n" );
document.write( "The total zinc in the mixture is  0.14*150 kilograms.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The equation is\r\n" );
document.write( "\r\n" );
document.write( "    0.16x + 0.06*(150-x) = 0.14*150.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The solution is\r\n" );
document.write( "\r\n" );
document.write( "    x =  = 120.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  120 kg of the 16% alloy and the rest, (150-120) = 30 kg of the 6% alloy.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  Calculate the concentration of the final alloy  C =  = 0.14 = 14%.      ! 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( "In this site, there is a bunch of lessons, covering various types of mixture problems. See introductory 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( "    - 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( "\n" ); document.write( "Read them and become an expert in solution the 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 online textbook 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" );