document.write( "Question 1137213: Hi
\n" ); document.write( "the members of a club each contribute an equal amount to buy a computer. If there were 3 more members each member would have contributed 10 dollars less. If there were 2 fewer members each would have contributed 10 dollars more.\r
\n" ); document.write( "\n" ); document.write( "how many members were in the club.\r
\n" ); document.write( "\n" ); document.write( "thanks
\n" ); document.write( "

Algebra.Com's Answer #755059 by greenestamps(13203)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Let the number of members be x, and the amount they each contribute be y. Then

\n" ); document.write( "\"%28x%2B3%29%28y-10%29+=+xy\"
\n" ); document.write( "\"xy-10x%2B3y-30+=+xy\"
\n" ); document.write( "\"-10x%2B3y+=+30\" (1)

\n" ); document.write( "and

\n" ); document.write( "\"%28x-2%29%28y%2B10%29+=+xy\"
\n" ); document.write( "\"xy%2B10x-2y-20+=+xy\"
\n" ); document.write( "\"10x-2y+=+20\" (2)

\n" ); document.write( "Adding (1) and (2) eliminates x and gives us the value of y:
\n" ); document.write( "\"y+=+50\"

\n" ); document.write( "Then substituting y=50 in either (1) or (2) gives us x=12.

\n" ); document.write( "ANSWER: The number of members in the club is x = 12.

\n" ); document.write( "CHECK:
\n" ); document.write( "xy = 12(50) = 600
\n" ); document.write( "(x+3)(y-10) = 15(40) = 600
\n" ); document.write( "(x-2)(x+10) = 10(60) = 600
\n" ); document.write( "
\n" ); document.write( "
\n" );