document.write( "Question 1011171: Members of a boating club were assessed equally to raise $600 to pay for a new set of sails. When six more persons joined the club, the per member assessment was reduced by $5.00. What was the new size of the club? \n" ); document.write( "
Algebra.Com's Answer #626764 by MathTherapy(10551)\"\" \"About 
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Members of a boating club were assessed equally to raise $600 to pay for a new set of sails. When six more persons joined the club, the per member assessment was reduced by $5.00. What was the new size of the club?
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Let new size be M
\n" ); document.write( "Then original size = M - 6
\n" ); document.write( "Now, each member pays: \"600%2FM%29\", and originally, each member paid: \"600%2F%28M+-+6%29\"
\n" ); document.write( "We then get the following equation, which describes the per-member payment, now and before: \"600%2FM+=+600%2F%28M+-+6%29+-+5\"
\n" ); document.write( "600(M - 6) = 600M - 5M(M - 6) --------- Multiplying by LCD, M(M - 6)
\n" ); document.write( "\"600M+-+3600+=+600M+-+5M%5E2+%2B+30M\"
\n" ); document.write( "\"5M%5E2+-+600M+-+30M+%2B+600M+-+3600+=+0\"
\n" ); document.write( "\"5M%5E2+-+30M+-+3600+=+0\"
\n" ); document.write( "\"5%28M%5E2+-+6M+-+720%29+=+5%280%29\"
\n" ); document.write( "\"M%5E2+-+6M+-+720+=+0\"
\n" ); document.write( "(M - 30)(M + 24) = 0
\n" ); document.write( "M, or new size = \"highlight_green%2830%29\" OR M = - 24 (ignore) \n" ); document.write( "
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