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)\"\" \"About 
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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( "\"%2814k%2B40%29%2F15\" = A
\n" ); document.write( "14k + 40 = 15A
\n" ); document.write( ":
\n" ); document.write( "Equation when one guy is replaced
\n" ); document.write( "\"%2814k%2Bx%29%2F15\" = A + 3
\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( "
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