A group of church members chartered a bus for $832. After making the arrangements, 6 more members decided to join the excursion and pay their fair share of the cost of the bus. The cost per person was reduced by $6. Find the original number of church members in the group and the original cost per member.
Let x = # of original members Cost per person (originally) = 832/x Cost per person after 6 more people = 832/(x+6) Solve 832/x=832/(x+6) +6 (because the cost was reduced by 6 Solve for x. x = 26 or -32 (but x is number of members, so it can't be negative) # of original members is 26. Original cost is 832/26 = $32 per person.
