document.write( "Question 219621: I am very lost with this problem. Here it is: Arnie Waldman has chosen a workout that combines weight training and aerobics. If he does 30 min of weight training, followed by a 30-min aerobics class, he will burn a total of 374 calories. If he burns 12/5 as many calories doing aerobis as doing weight traing, how many calories will he burn in each activity? \n" ); document.write( "
Algebra.Com's Answer #165181 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! If he does 30 min of weight training, followed by a 30-min aerobics class, \n" ); document.write( " he will burn a total of 374 calories. \n" ); document.write( "If he burns 12/5 as many calories doing aerobics as doing weight training, \n" ); document.write( " how many calories will he burn in each activity? \n" ); document.write( ": \n" ); document.write( "Let w = calories burned with weight \n" ); document.write( "Let a = calories burned with aerobics \n" ); document.write( ": \n" ); document.write( "Total cal equation \n" ); document.write( "w + a = 374 \n" ); document.write( ": \n" ); document.write( "\"he burns 12/5 as many calories doing aerobics as doing weight training,\" \n" ); document.write( "a = \n" ); document.write( ": \n" ); document.write( "Substitute \n" ); document.write( "w + \n" ); document.write( "Multiply equation by 5, \n" ); document.write( "5w + 12w = 5(374) \n" ); document.write( "17w = 1870 \n" ); document.write( "w = \n" ); document.write( "w = 110 cal doing weights \n" ); document.write( "then \n" ); document.write( "a = 374 - 110 \n" ); document.write( "a = 264 cal doing aerobics \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution, does 264/110 = 12/5? both = 2.4 \n" ); document.write( " |