document.write( "Question 912113: Granola costs $4.50 per pound. Assorted nuts cost $7 per pound. How many pounds of granola and nuts are needed to make 7 pounds of trail mix that costs $6 per pound? \n" ); document.write( "

Algebra.Com's Answer #553581 by richwmiller(17219) $\"\"$ $\"About$

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7*6=42
\n" ); document.write( "total sold 7
\n" ); document.write( "total sales 42
\n" ); document.write( "product sold at 4.5 and 7
\n" ); document.write( "c+a=7,
\n" ); document.write( "4.5*c+7*a=42
\n" ); document.write( "c=7-a
\n" ); document.write( "We have two equations with two variables.
\n" ); document.write( "We will substitute to make one equation with one variable
\n" ); document.write( "4.5*(7-a)+7*a=42
\n" ); document.write( "31.5-4.5a+7*a=42
\n" ); document.write( "2.5*a=10.5
\n" ); document.write( "a=4.2
\n" ); document.write( "c=7-a
\n" ); document.write( "c=2.8 lb at $4.5 and a=4.2 lb at $7
\n" ); document.write( "check
\n" ); document.write( "2.8+4.2=7
\n" ); document.write( "4.5*c+7*a=42
\n" ); document.write( "4.5*2.8+7*4.2=42
\n" ); document.write( "12.6+29.4=42
\n" ); document.write( "42.0=42
\n" ); document.write( "ok
\n" ); document.write( "codetickv\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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