document.write( "Question 1050612: The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound for Sumatran coffee. How much of each type should be used to make a 20 pound blend that sells for $9.35 per pound? \n" ); document.write( "
Algebra.Com's Answer #666175 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound for Sumatran coffee.
\n" ); document.write( "How much of each type should be used to make a 20 pound blend that sells for $9.35 per pound?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let x = \"How much of the $10 per pound Kenyan French roast coffee (in pounds) is used to make 20 pound of blend\".\r\n" );
document.write( "Then (20-x) pounds is the amount of the $9 per pound for Sumatran coffee.\r\n" );
document.write( "\r\n" );
document.write( "The balance equation\r\n" );
document.write( "\r\n" );
document.write( "x*10 + 9*(20-x) = 20*9.35.\r\n" );
document.write( "\r\n" );
document.write( "The left side is the cost of the blend calculated as the sum of components.\r\n" );
document.write( "The right side is the same cost calculated via the price of the blend.\r\n" );
document.write( "\r\n" );
document.write( "Thus you have a single linear equation for one unknown.\r\n" );
document.write( "Once such simple guiding equation is obtained the problem is considered as solved.\r\n" );
document.write( "The completion is just arithmetic. Please do it on your own.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "There is a bunch of similar problems with detailed solutions in 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 dry substances like coffee beans, nuts, cashew and peanuts\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like candies, dried fruits\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( "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( "It contains many other solved word problems, as well as many other interesting and useful things.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );