document.write( "Question 325106: John likes dark coffe beans, which cost $8.50/kg. Brad likes mild coffe beans which cost $9.20/kg. They buy a 5.5kg made from a blend of both type of beans that cost $48.50. How many kg of each type of bean went into the mixture? \n" ); document.write( "

Algebra.Com's Answer #232826 by stanbon(75887) $\"\"$ $\"About$

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John likes dark coffe beans, which cost $8.50/kg. Brad likes mild coffe beans which cost $9.20/kg. They buy a 5.5kg made from a blend of both type of beans that cost $48.50. How many kg of each type of bean went into the mixture?
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\n" ); document.write( "Equations
\n" ); document.write( "Weight Eq:::::d + m = 5.5 kg
\n" ); document.write( "Value Eq::::8.5d + 9.2m = 48.5
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Multiply thru 1st by 85
\n" ); document.write( "Multiply thru 2nd by 10
\n" ); document.write( "-------------------------------
\n" ); document.write( "85d + 85m = 85*5.5
\n" ); document.write( "85d + 92m = 485
\n" ); document.write( "-------------------------------
\n" ); document.write( "Subtract 1st from 2nd and solve for \"m\":
\n" ); document.write( "7m = 17.5
\n" ); document.write( "m = 2.5 kg (weight of mild coffee in the mixture)
\n" ); document.write( "-----
\n" ); document.write( "Since d+m = 5.5, m = 3 kg (weight of dark coffee in the mixture)
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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