document.write( "Question 393589: The cost of a membership to a health club has an initiation fee and monthly dues. If the club charges $100 for 2 months and $200 for 6 months, then find the initiation cost and the monthly dues fees. \n" ); document.write( "
Algebra.Com's Answer #279310 by robertb(5830)![]() ![]() You can put this solution on YOUR website! Let i = initiation fee, m = monthly fee.\r \n" ); document.write( "\n" ); document.write( "Then we get the system \n" ); document.write( "i + 2m = 100 <--(1) \n" ); document.write( "i + 6m = 200 <--(2) \n" ); document.write( "Subtracting the top equation from the bottom equation, we get\r \n" ); document.write( "\n" ); document.write( "4m = 100, or m = $25, the monthly fee. \n" ); document.write( "The initiation fee is i + 2*25 = 100, \n" ); document.write( "==> i = 100 - 50 = $50 \n" ); document.write( " |