document.write( "Question 75951: How many pounds of coffee worth 1.44 a pound should be mixed with 20 pounds worth 1.80 a pound a mixture worth 1.56 a pound? \n" ); document.write( "
Algebra.Com's Answer #54558 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
How many pounds of coffee worth 1.44 a pound should be mixed with 20 pounds worth 1.80 a pound a mixture worth 1.56 a pound?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of 1.44 a lb coffee. Given the 1.80 amt as 20 lb;
\n" ); document.write( ":
\n" ); document.write( "Therefore, the a resulting amt = (x+20) lb
\n" ); document.write( ":
\n" ); document.write( "1.44x + 1.80(20) = 1.56(x+20)
\n" ); document.write( ":
\n" ); document.write( "Get rid of these decimals; mult eq by 100
\n" ); document.write( "144x + 180(20) = 156(x+20)
\n" ); document.write( "144x + 3600 = 156x + 3120
\n" ); document.write( "144x - 156x = 3120 - 3600
\n" ); document.write( "-12x = -480
\n" ); document.write( "x = -480/-12
\n" ); document.write( "x = +40 lb of 1.44 coffee:
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( "1.44(40) + 1.80(20) = 1.56(60)
\n" ); document.write( "57.6 + 36 = 93.6, confirms our solution.
\n" ); document.write( " \n" ); document.write( "
\n" );