document.write( "Question 585809: The average weight of a group of 10 people increases by 1 kg when one of
\n" ); document.write( "them weighing 58kgs is replaced by a new person. The weight of the new
\n" ); document.write( "person is : \n" ); document.write( "

Algebra.Com's Answer #373587 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The average weight of a group of 10 people increases by 1 kg when one of
\n" ); document.write( "them weighing 58kgs is replaced by a new person.
\n" ); document.write( " The weight of the new person is:
\n" ); document.write( ":
\n" ); document.write( "Let x = the total weight of the 9 people that remain the same
\n" ); document.write( "Let y = weight of the new person
\n" ); document.write( ":
\n" ); document.write( "New group av - Old group av = 1
\n" ); document.write( " $\"%28x%2By%29%2F10\"$ - $\"%28x%2B58%29%2F10\"$ = 1
\n" ); document.write( "mult by 10, gets rid of the denominators
\n" ); document.write( "(x + y) - (x + 58) = 10
\n" ); document.write( "Remove the brackets
\n" ); document.write( "x + y - x - 58 = 10
\n" ); document.write( "x - x + y = 10 + 58
\n" ); document.write( "y = 68 lb is the weight of the new guy \n" ); document.write( "

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