Question 1103213
The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $2000, which was to be divided equally among the members going. Prior to the trip, 5 members decided not to go. If the cost per person increased by $20, how many people went on the expedition? 
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Original cost per person:: 2000/x
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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.
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SOLVED.