the soccer club has planned a trip to a tournament. the cost of the van is $231 when 3 students who are not members of the club join the trip, the transportation cost per person drops by $4.50 how many soccer members are going to the tournament?

Answer 1

ticket price p = 231/n
p-4.5 = 231/(n+3)

231/n - 4.5 = 231/(n+3)

231(n+3)-4.5(n^2+3n) = 231 n

231*3 -4.5 n^2 - 13.5n = 0

4.5 n^2 + 13.5 n - 693 = 0

n = 11 or -14
so
11
===========================
check
231/11 = 21
231/14 = 16.5 yes, diff = 4.50