document.write( "Question 314234: A manufacturer produces two models of the same toy; Model A and Model B. Model A takes 4 hours to produce and costs $8/each. Model B takes 3 hours to produce and costs $7/each. If the manufacturer allots a total of 5800 hours and $12,600 for production each week, how many of each model will be produced?\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance for any assistance! \n" ); document.write( "
Algebra.Com's Answer #224679 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Let the number of toys of Model A produced be x
\n" ); document.write( "Let the number of toys of Model B produced be y
\n" ); document.write( "..
\n" ); document.write( "time equation
\n" ); document.write( "4x+3y=5800
\n" ); document.write( "Cost equation
\n" ); document.write( "8x+7y=12600
\n" ); document.write( "..
\n" ); document.write( "Multiply the first equation by 2 and subtract the second to eliminate x.
\n" ); document.write( "8x+6y-8x-7y=11600-12600
\n" ); document.write( "-y=-1000
\n" ); document.write( "y= 1000 Number of toys of Model B
\n" ); document.write( "plug the value of y in the first equation
\n" ); document.write( "4x+3*1000= 5800
\n" ); document.write( "4x=5800-3000
\n" ); document.write( "x= 2800/ 4= 700
\n" ); document.write( "Number of toys of Model A= 700\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );