document.write( "Question 1096741: A machine in a pottery factory takes 3 minutes to form a bowl and 2 minutes to form a plate. The material for a bowl costs $0.25 and the material for a plate costs $0.20. If the machine runs for 8 hours straight and exactly $44 is spent for materials, how many bowls and plates can be produced. \n" ); document.write( "
Algebra.Com's Answer #711156 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "From the condition, you have these two equations (the system of two equations)\r\n" ); document.write( "\r\n" ); document.write( " 3*b + 2*p = 8*60 (1) (minutes)\r\n" ); document.write( "0.25*b + 0.20*p = 44 (2) (dollars)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where b = # of bowls, p = # of plates. Simplify\r\n" ); document.write( "\r\n" ); document.write( " 3b + 2p = 480, (3)\r\n" ); document.write( " 25b + 20p = 4400. (4)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Setup is done. Solve it by any method you know. Eliminating of \"p\" seems to be attractive.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |