Question

PLEASE HELP!!

The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $3200, 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 $160, how many people went on the expedition?

Answer 1

x = 25.

Explanation:

Original cost per person:: 2000/x

Changed cost per person:: 2000/(x-5)

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Equation:: changed - original = 20

2000/(x-5) - 2000/x = 20

2000x - 2000x + 2000*5 = 20x(x-5)

10000 = 20x^2-100

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500 = x^2 - 5x

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x^2 - 5x - 500 = 0

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

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Only positive root makes sense ====> x = 25.