Question

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.

Answer 1

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.