document.write( "Question 70382: Employees use two methods to refinidh a chair. Method I takes 1 hour and cost $3. Method II takes 1 1/2 hour and cost $1.50. Last week, they took 36 hours and spen t $60. How many did they refinish with each method? \n" ); document.write( "
Algebra.Com's Answer #50208 by stanbon(75887) ![]() You can put this solution on YOUR website! Employees use two methods to refinidh a chair. Method I takes 1 hour and cost $3. Method II takes 1 1/2 hour and cost $1.50. Last week, they took 36 hours and spen t $60. How many did they refinish with each method? \n" ); document.write( "---------- \n" ); document.write( "Let \"x\" be number done with Method I. \n" ); document.write( "Yet \"y\" be number done with Method II. \n" ); document.write( "Time equation: 1x + 1.5y = 36 \n" ); document.write( "Cost Equation: 3x + 1.5y = 60 \n" ); document.write( "--------- \n" ); document.write( "Subtract time equation from cost equation to get: \n" ); document.write( "2x=24 \n" ); document.write( "x=12 (number done with Method I) \n" ); document.write( "Substitute into time equation to solve for y as follows: \n" ); document.write( "12 + 1.5y = 36 \n" ); document.write( "1.5y = 24 \n" ); document.write( "y = 16 (number done with Method II) \n" ); document.write( "------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |