94. Sharing cost. The members of a flying clubplan to share equality the cost of

Question

94. Sharing cost. The members of a flying clubplan to share equality the cost of a $200,000 airplane. The memberswant to find five more people to join the club so that the cost perperson will decrease by 2,000. How many members are currently inthe club?

Explanation / Answer

C=current cost M=number of members C*M=$200,000 >>>rearrange C=$200,000/M (C-$2,000)*(M+5)=$200,000 plug in C ($200,000/M - $2000)*(M+5)=$200,000 distribute $200,000 - $2000M +$1,000,000/M -$10,000 = $200,000 $200,000s cancel on both sides, multiply by M to form a quadraticequation and flip the signs 2000M2+10000M-1000000 = 0 divide by 2000 M2+5M-500=0 use the quadratic formula (-5 + 25+2000) /2 = (-5 + 45)/2 =20 members

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