document.write( "Question 1115647: A coffee manufacturer sells a 10-pound package of coffee that consists of three flavors of coffee. Vanilla-flavored coffee costs $12 per pound, hazelnut-flavored coffee costs $13.50 per pound, and mocha-flavored coffee costs $15 per pound. The cost of the 10 pound package is $138. The package contains the same amount of hazelnut coffee as mocha coffee. How many pounds of each type of coffee are in the package? \n" ); document.write( "

Algebra.Com's Answer #730494 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Again, typical problem to solve using SINGLE unknown.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x = amount of hazelnut (in pounds).\r\n" );
document.write( "\r\n" );
document.write( "Then the amount of mocha coffee is the same x pounds.\r\n" );
document.write( "\r\n" );
document.write( "Then the amount of vanilla-flavored coffee is (10-2x) pounds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The money equation is\r\n" );
document.write( "\r\n" );
document.write( "12*(10-2x) + 13.50x + 15x = 138,   or\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "120 - 24x + 28.5x = 138,\r\n" );
document.write( "\r\n" );
document.write( "4.5x = 138 - 120 = 18  ====>  x =  = 4 pounds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  4 pounds of hazelnut;  4 pounds of mocha coffee;  and  2 pounds of vanilla-flavored coffee.\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( "

\n" );