The entire treasury of the Alpha club, consisting of $240, was to be divided into equal shares for each club member. When it was discovered that one member was not eligible for a share, the share of the remaining members increased by $1. How many eligible members got a share of the $240?

4 answers

let m equal the number of members .. so m - 1 equals eligible members

(240 / m) + 1 = 240 / (m - 1)

240 m - 240 + m^2 - m = 240 m ... m^2 - m - 240 = 0

(m + 15)(m - 16) = 0

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