Question

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?

Answer 1

If you divide the previous cost with the price per person, you would get the number of people who was previously planned to be going, which is 20. That said, with 10 people not going, there would be 10 people left with the price of 2300 to continue the expedition

Answer 2

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.