document.write( "Question 267753: A woodworking shop makes tables and chairs. To make a chair, 8 min is needed on the lathe and 8 min is needed on the sander. To make a table, 8 min is needed on the lathe and 20 min on the sander. The lathe operator works 6h/day and the sander operator works 7h/day. How many chairs and tables can they make in one day working at this capacity? \n" ); document.write( "
Algebra.Com's Answer #196405 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A woodworking shop makes tables and chairs. \n" ); document.write( "To make a chair, 8 min is needed on the lathe and 8 min is needed on the sander. \n" ); document.write( "To make a table, 8 min is needed on the lathe and 20 min on the sander. \n" ); document.write( "The lathe operator works 6h/day and the sander operator works 7h/day. \n" ); document.write( "----------------------------------- \n" ); document.write( "How many chairs and tables can they make in one day working at this capacity? \n" ); document.write( "------------------------- \n" ); document.write( "Lathe Equation:: 8c + 8t = 6*60 minutes \n" ); document.write( "Sander Equation: 8c +20t = 7*60 minutes \n" ); document.write( "---------------------------------------------- \n" ); document.write( "Subtract 1st from 2nd to get: \n" ); document.write( "12t = 60 \n" ); document.write( "t = 5 (# of tables that can be produced) \n" ); document.write( "-------------- \n" ); document.write( "Substitute into 8c+8t = 6*60 and solve \"c\": \n" ); document.write( "8c + 8*5 = 6*60 \n" ); document.write( "8c = 320 \n" ); document.write( "c = 40 (# of chairs that can be produced) \n" ); document.write( "============================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |