2000

------ = original price per person

x

2000

------- = new price per person

x - 5

2000 2000

------ + 20 = ------ {original price per person plus 20 equals new price per person}

x x - 5

Multiply entire equation by least common denominator, x(x - 5).

2000(x - 5) + 20x(x - 5) = 2000x {multiplied by x(x - 5)}

2000x - 10,000 + 20x² - 100x = 2000x {used distributive property}

20x² - 100x - 10,000 = 0 {subtracted 2000x from each side}

x = 25 or -20 {used quadratic formula}

Since x = 25,

**20 went on the expedition***- Algebra House*
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