document.write( "Question 1200089: A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $13 per kilogram and Pennsylvania Jack that costs $9 per kilogram. How many kilograms of each were used to make a 5-kilogram mixture that costs $10.20 per kilogram? \n" ); document.write( "

Algebra.Com's Answer #834111 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A grocery store offers a cheese sampler that includes a pepper cheddar cheese
\n" ); document.write( "that costs $13 per kilogram and Pennsylvania Jack that costs $9 per kilogram.
\n" ); document.write( "How many kilograms of each were used to make a 5-kilogram mixture that costs $10.20 per kilogram?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "x kilos per $13 and (5-x) kilos per $9.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Your money equation is\r\n" );
document.write( "\r\n" );
document.write( "    13x + 9*(5-x) = 5*10.20  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    13x + 45 - 9x = 51.00\r\n" );
document.write( "\r\n" );
document.write( "    13x - 9x = 51 - 45\r\n" );
document.write( "\r\n" );
document.write( "        4x   =    6\r\n" );
document.write( "\r\n" );
document.write( "         x   =    6/4 = 1.5 kilograms.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  1.5 kilograms per $13 and (5-1.5) = 3.5 kilograms per $9.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   = 10.20 dollars per kilogram.   ! 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 very advanced grocery store, measuring their production in kilograms (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );