document.write( "Question 964882: A light brew coffee sells for $12 per pound is to be mixed with a dark brew coffee that sells for $9 per pound to get a 5-pound mixture that will sell for $10 per pound. How many pounds of light brew and dark brew coffee should be used? \n" ); document.write( "
Algebra.Com's Answer #589687 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "T=amount of $12 coffee; N=amount of $9 coffee. \n" ); document.write( "N+T=5lbs \n" ); document.write( "N=5lbs-T Use this to substitute for N \n" ); document.write( "$9N+$12T=$10(5lbs) Substitute for N from above. \n" ); document.write( "$9(5lbs-T)+$12T=$50lbs \n" ); document.write( "$45lbs-$9T+$12T=$50lbs Subtract $45lbs from each side. \n" ); document.write( "$3T=$5lbs Divide each side by $3. \n" ); document.write( "T=5/3 lbs ANSWER 1:5/3 lbs of light brew ($12) coffee should be used. \n" ); document.write( "N=5lbs-T=5lbs-5/3lbs=10/3 lbs ANSWER 10/3 lbs of dark brew ($9) should be used. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( ". \n" ); document.write( "$9N+$12T=$10(5lbs) \n" ); document.write( "$9(10/3)+$12(5/3)=$10(5lbs) \n" ); document.write( "$90/3+$60/3=$50 \n" ); document.write( "$30+$20=$50 \n" ); document.write( "$50=$50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |