document.write( "Question 1076574: two mechanics worked on a car, the first mechanic charged 55 dollars per hour and the second mechanic charged 115 dollars per hour. the mechanics worked for a combined total of 20 hours, and together they charged a total of 1400 dollars. how long did each mechanic work? \n" ); document.write( "
Algebra.Com's Answer #691202 by stanbon(75887) ![]() You can put this solution on YOUR website! two mechanics worked on a car, the first mechanic charged 55 dollars per hour and the second mechanic charged 115 dollars per hour. the mechanics worked for a combined total of 20 hours, and together they charged a total of 1400 dollars. how long did each mechanic work? \n" ); document.write( "------- \n" ); document.write( "Equations: \n" ); document.write( "m + M = 20 hours \n" ); document.write( "55m + 115M = 1400 dollars \n" ); document.write( "--------------------------------- \n" ); document.write( "11m + 11M = 220 \n" ); document.write( "11m + 23M = 280 \n" ); document.write( "-------------------------- \n" ); document.write( "Subtract and solve for \"M\": \n" ); document.write( "12M = 60 \n" ); document.write( "M = 5 hrs (time the $115 per hr worked) \n" ); document.write( "m = 15 hrs (time the $55 per hr worked) \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |