SOLUTION: Members of a boating club were assessed equally to raise $600 to pay for a new set of sails. When six more persons joined the club, the per member assessment was reduced by $5.00.

Question 1011171: Members of a boating club were assessed equally to raise $600 to pay for a new set of sails. When six more persons joined the club, the per member assessment was reduced by $5.00. What was the new size of the club?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
p is for original number of club members.
Per-member rate was dollars per member.

Six new members joined and this changes the per-member rate.
p+6 is the number of total members including the added five of them (new members).
Per-member rate now reduced by $5 each.

Do you understand the formation of this equation?

Solve for p, and then evaluate p+6.
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!
Members of a boating club were assessed equally to raise $600 to pay for a new set of sails. When six more persons joined the club, the per member assessment was reduced by $5.00. What was the new size of the club?

Let new size be M
Then original size = M - 6
Now, each member pays: , and originally, each member paid:
We then get the following equation, which describes the per-member payment, now and before:
600(M - 6) = 600M - 5M(M - 6) --------- Multiplying by LCD, M(M - 6)

(M - 30)(M + 24) = 0
M, or new size = OR M = - 24 (ignore)
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