document.write( "Question 53496: A furniture shop refinishes chairs. Employees use two methods to refinish a chair. method I takes 1 hour and costs $3. Method II takes 1 1/2 hours and material costs $1.50. Last Week, they took 36 hours and spent $60 refinishing chairs. How many did they refinish with each method? \n" ); document.write( "
Algebra.Com's Answer #35764 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A furniture shop refinishes chairs. Employees use two methods to refinish a chair. method I takes 1 hour and costs $3. Method II takes 1 1/2 hours and material costs $1.50. Last Week, they took 36 hours and spent $60 refinishing chairs. How many did they refinish with each method? \n" ); document.write( "-------------- \n" ); document.write( "Let Method I be A; Let Method II be B. \n" ); document.write( "1st: A+(3/2)B=36 \n" ); document.write( "2nd: 3A+(3/2)B=60 \n" ); document.write( "Subtract 1st from 2nd to get: \n" ); document.write( "2A=24 \n" ); document.write( "A=12 hours (Time they used Method I) \n" ); document.write( "B=24 hours (Time they used Method II) \n" ); document.write( "But how many chairs did they finish with each method? \n" ); document.write( "In 12 hours Method A will finish 12 chairs. \n" ); document.write( "In 24 hours Method B will finish 24/(3/2)= 16 chairs. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |