document.write( "Question 791934: the average of 15 men in a boat is increased by 3 kg when one of the crew who weights 40kg, is replaced by someone else. the weight of the new man is \n" ); document.write( "
Algebra.Com's Answer #480052 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! the average of 15 men in a boat is increased by 3 kg when one of the crew who weights 40kg, is replaced by someone else. \n" ); document.write( " the weight of the new man is: \n" ); document.write( ": \n" ); document.write( "Let k = the average weight of the 1st 14 guys \n" ); document.write( "Let A = the original average of the 15 guys \n" ); document.write( "then \n" ); document.write( "(A+3) = the average when one guy is replaced \n" ); document.write( "let x = the weight of the new guy. \n" ); document.write( ": \n" ); document.write( "Equation for the original crew \n" ); document.write( " \n" ); document.write( "14k + 40 = 15A \n" ); document.write( ": \n" ); document.write( "Equation when one guy is replaced \n" ); document.write( " \n" ); document.write( "14k + x = 15(A+3) \n" ); document.write( "14k + x = 15A + 45 \n" ); document.write( "14k + x - 45 = 15A \n" ); document.write( ": \n" ); document.write( "15A = 15A so we can write it \n" ); document.write( "14k + x - 45 = 14k + 40 \n" ); document.write( "subtract 14k from both side \n" ); document.write( "x - 45 = 40 \n" ); document.write( "x = 40 + 45 \n" ); document.write( "x = 85 kg, weight of the new guy, a big dude! \n" ); document.write( " |