document.write( "Question 1000698: Two groups of students order burritos at a mexican restaurant.
\n" );
document.write( "One order of 3 burritos and 4 tacos cost $11.33 and the other
\n" );
document.write( "order of 9 burritos and 5 tacos costs $23.56. How much will it
\n" );
document.write( "cost to buy 5 burritos and 7 tacos? \n" );
document.write( "
Algebra.Com's Answer #618128 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! Two groups of students order burritos at a mexican restaurant. \n" ); document.write( "One order of 3 burritos and 4 tacos cost $11.33 and the other \n" ); document.write( "order of 9 burritos and 5 tacos costs $23.56. How much will it \n" ); document.write( "cost to buy 5 burritos and 7 tacos? \n" ); document.write( " \r\n" ); document.write( " 3B + 4T = 11.33\r\n" ); document.write( " 9B + 5T = 23.56\r\n" ); document.write( "\r\n" ); document.write( "Solve by elimination:\r\n" ); document.write( "\r\n" ); document.write( "Multiply the first equation by -3 to get -9B where the 3B is\r\n" ); document.write( "so that it will cancel with the 9B when the equations are added.\r\n" ); document.write( "\r\n" ); document.write( "-9B - 12T = -33.99\r\n" ); document.write( " 9B + 5T = 23.56\r\n" ); document.write( "------------------\r\n" ); document.write( " -7T = -10.43\r\n" ); document.write( " T = $1.49\r\n" ); document.write( "\r\n" ); document.write( "Substitute in \r\n" ); document.write( "\r\n" ); document.write( " 3B + 4T = 11.33\r\n" ); document.write( " 3B + 4(1.49) = 11.33\r\n" ); document.write( " 3B + 5.96 = 11.33\r\n" ); document.write( " 3B = 5.37\r\n" ); document.write( " B = $1.79\r\n" ); document.write( "\r\n" ); document.write( "A taco costs $1.49 and a burrito costs $1.79.\r\n" ); document.write( "\r\n" ); document.write( "Therefore 5 burritos and 7 tacos will cost \r\n" ); document.write( "\r\n" ); document.write( "5B + 7T = 5($1.79) + 7($1.49) = $19.38\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |