The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1800, 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 $90. How many people went on the expedition?
x = number of members initially planning on going
1800/x = original cost per person 1800/(x  10) = new cost per person 1800/x  1800/(x  10) = 90 {original cost per person minus new cost per person equals 90} 1800(x  10)  1800x = 90x(x  10) {multiplied entire equation by the least common denominator, x(x  10)} 1800x  18,000  1800x = 90x²  900x {used distributive property} 18,000 = 90x²  900x {combined like terms on left and used distributive property on right} 90x²  900x + 18,000 = 0 {added 18,000 to each side} 90(x²  10x + 200) = 0 {factored 90 out} x²  10x + 200 = 0 {divided each side by 90} (x  20)(x + 10) = 0 {factored into two binomials} x  20 = 0 or x + 10 = 0 {set each factor equal to zero} x = 20 or x = 10 {solved each equation} x = 20 originally planning to go {x cannot be negative} so, 10 people actually went Ask the House
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