Question 1180229
The Extreme Rock Climbing Club planned a climbing expedition.  The total cost was $4600,

 which was to be divided equally among the members going.
let the number of people opted to go be x

cost per person = 4600/x

  Prior to the trip, 5 members decided not to go.

5 members opted out
(x-5) go to the trip

4600/(x-5) -4600/x   = 46 

multiply the terms by x(x-5)

4600x -4600(x-5) = x(x-5)*46

4600 -4600x +18400 = 46x^2 -230x

46x^2-230x -23000 =0

divide by 23

2x^2-10x-1000=0

(x+20)(x-25)=0

x= 25


20 people went on the expedition