document.write( "Question 964047: When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students \n" ); document.write( "

Algebra.Com's Answer #589026 by LinnW(1048) $\"\"$ $\"About$

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Set a = average weight of the 60 students
\n" ); document.write( "So 60*a is the weight of the entire class
\n" ); document.write( "(60a - 45kg ) = The weight of the remaining 59 students
\n" ); document.write( "(60a - 45kg)/59 = a + 200g
\n" ); document.write( "or converting to kg
\n" ); document.write( "(60a - 45kg)/59 = a + 0.200kg
\n" ); document.write( "The left hand side is the average weight of the remaining 59.
\n" ); document.write( "This average is 200g more than the previous average.
\n" ); document.write( "Now let us solve.
\n" ); document.write( " $\"%2860a+-+45%29%2F59+=+a+%2B+0.200\"$
\n" ); document.write( " $\"%2860a+-+45%29%2F59+=+%28a+%2B+0.200%29%2F1\"$
\n" ); document.write( " $\"59%28a%2B0.2%29=%2860a-45%29\"$
\n" ); document.write( " $\"59a%2B11.8=60a-45\"$
\n" ); document.write( "add -59a to each side
\n" ); document.write( " $\"11.8=a-45\"$
\n" ); document.write( "add 45 to each side
\n" ); document.write( " $\"11.8=a-45\"$
\n" ); document.write( " $\"56.8=a\"$
\n" ); document.write( "Since the average weight of the 59 is a + 0.200kg,
\n" ); document.write( "the average weight is 56.8 + 0.2 = 57kg \n" ); document.write( "

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