document.write( "Question 181393: a 100 lb bag of a rye/blue grass mix sells for $245. a 100 lb bag of blue grass sells for $347. if 19 bags combined sells for $5369 how many of each are sold \n" ); document.write( "
Algebra.Com's Answer #136084 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
SOLVE USING 2 EQUATIONS AND TWO UNKNOWNS:
\n" ); document.write( "Let x=number of bags of rye/blue sold
\n" ); document.write( "And y=number of bags of blue grass sold
\n" ); document.write( "Now we are told the following:
\n" ); document.write( "x+y=19------------------------------eq1
\n" ); document.write( "$ understood
\n" ); document.write( "245x+347y=5369--------------------eq2
\n" ); document.write( "from eq1, x=19-y substitute 19-y for x in eq2:
\n" ); document.write( "245(19-y)+347y=5369 get rid of parens:
\n" ); document.write( "4655-245y+347y=5369 subtract 4655 from each side
\n" ); document.write( "4655-4655-245y+347y=5369-4655 collect like terms
\n" ); document.write( "102y=714 divide each side by 102\r
\n" ); document.write( "\n" ); document.write( "y=7---------------------number of bags of blue grass sold
\n" ); document.write( "substitute y=7 into eq1
\n" ); document.write( "x+7=19 subtract 7 from each side
\n" ); document.write( "x=12--------------------------number of bags of blue/rye sold
\n" ); document.write( "SOLVE USING 1 EQUATION AND 1 UNKNOWN:
\n" ); document.write( "Let x=number of bags of blue/rye
\n" ); document.write( "Then 19-x=number of bags of blue
\n" ); document.write( "So:
\n" ); document.write( "245x+347(19-x)=5329
\n" ); document.write( "And this will yield the same answer as before\r
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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