document.write( "Question 71527: how many pounds of tea that cost $4.20 per pound must be mixed with 12lb of tea that cost $2.25 per pound to make a mixture that cost $3.40 per pound? \n" ); document.write( "
Algebra.Com's Answer #51161 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=number of pounds of $4.20 tea\r \n" ); document.write( "\n" ); document.write( "Cost of $4.20 tea ($4.20x) plus cost of $2.25 tea ($2.25*12) must equal cost of final mixture (x+12)($3.40). So our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "$4.20x+$2.25*12=$3.40(x+12) get rid of parens and simplify\r \n" ); document.write( "\n" ); document.write( "$4.20x+$27.00=$3.40x+$40.80 subtract $27.00 and also $3.40x from both sides\r \n" ); document.write( "\n" ); document.write( "$4.20x+$27.00-$27.00-$3.40x=$3.40x-$3.40x+$40.80-$27.00 collect like terms\r \n" ); document.write( "\n" ); document.write( "$.8x=$13.80 divide both sides by $.8\r \n" ); document.write( "\n" ); document.write( "x=17.25 lb-------------------number of lbs of $4.20 tea\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "$4.20(17.25)+$2.25(12)=$3.40(29.25) \n" ); document.write( "$72.45+$27=$99.45 \n" ); document.write( "$99.45=$99.45\r \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |