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.

Question

Mathematics

Rohan Haas

31 August, 01:32

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.

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Answers (1)

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Mckayla Chandler · 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.