# SOLUTION: A group plans to start a new business that will require \$240,000 for start-up capital. The individuals in the group share the cost eually. If two addiditonal people join the group,

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 Click here to see ALL problems on Money Word Problems Question 426651: A group plans to start a new business that will require \$240,000 for start-up capital. The individuals in the group share the cost eually. If two addiditonal people join the group, the cost per person will decrease by \$4000. How many people are presently in the group? I let: Capital: C = 240,000 People: P Cost per person: I = 4000 - 2PAnswer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi Let P represent the number in the original group 240000/P - 240000/(P+2)= \$4000 240000[(P+2) - P] = 4000*P(P+2) 4000P^2 + 8000P - 480000 = 0 P^2 + 2P - 120 = 0 factoring (P+12)(P-10) = 0 (P+12)= 0 tossing out the negative solution for count (P-10)= 0 P = 10, original group. (Would be 12 if 2 more joined) CHECKING our Answer*** 240,000/10 = 24,000 240,000/12 = 20,000 24,000-20,000 = \$4000 ```