document.write( "Question 740746: Ravi's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $5.45 Ravi per pound, and type B coffee costs $4.20 per pound. This month, Ravi made 121 pounds of the blend, for a total cost of $571.95 . How many pounds of type B coffee did he use? \n" ); document.write( "
Algebra.Com's Answer #451686 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= pounds of coffee type I \n" ); document.write( "y= pounds of coffee type II \n" ); document.write( " \n" ); document.write( "1.00 x + 1.00 y = 121.00 .............1 \n" ); document.write( "Total value \n" ); document.write( "5.45 x + 4.20 y = 571.95 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -4.20 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "-4.20 x -4.20 y = -508.20 \n" ); document.write( "5.45 x + 4.20 y = 571.95 \n" ); document.write( "Add the two equations \n" ); document.write( "1.25 x = 63.75 \n" ); document.write( "/ 1.25 \n" ); document.write( "x = 51.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 121.00 \n" ); document.write( "51.00 + y = 121.00 \n" ); document.write( " y = 121.00 -51.00 \n" ); document.write( " y = 70.00 \n" ); document.write( " y = 70.00 \n" ); document.write( "x= 51.00 pounds of coffee type I \n" ); document.write( "y= 70.00 pounds of coffee type II \n" ); document.write( " \n" ); document.write( " |