The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $4600, which was to be divided equally among the members going. Prior to the trip, 10 members decided not to go. If the cost per person increased by $230, how many people went on the expedition?

Let x = number of people that were supposed to go to the trip, where x is greater than or equal to 0.

Let y = price per person initially with x people going on the trip.

xy = 4600

Solve for y.

y = 4600/x

(x - 10)(y + 230) = 4600

Replace y with the fraction 4600/x.

(x - 10)[(4600/x) + 230)] = 4600

What you need to do:

1. Solve (x - 10)[(4600/x) + 230)] = 4600 for x.

2. When you find x, subtract 10 from the value of x to find the number of people that went on the expedition.

You finish.

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