document.write( "Question 1137362: An electronics company makes two types of switches. Type A takes 4 minutes to make and requires $3 worth of materials. Type B takes 5 minutes to make and requires $5 of materials. In the latest productionbatch, it took 32 hours to make these switches, and the materials cost $1740. How many of each type of switch were made? \n" ); document.write( "

Algebra.Com's Answer #755238 by ikleyn(52802) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "4a + 5b = 32*60     (1)     (minutes to make)\r\n" );
document.write( "3a + 5b = 1740      (2)     (material cost)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve the system, use the Elimination method.  For it, subtract eq(2) from eq(1).  You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4a - 3a = 32*60 - 1740 = 180.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "a =  180.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then from eq(2),  5b = 1740 - 3*180 =  1200,  b = 1200/5 = 240.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  180 switches of the type A  and   240 switches of the type B.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );