When you multiply 2 irrational numbers, the result is always irrational. This applies to squaring as well since it is still multiplying irrational numbers together (though the terms are the same)
Maybe something like: 200s + 105a + 200 = 1,000 You can use x and y instead of s for student and a for adult. Are the adults and students charged the same? If so then: 200x + 105x + 200 = 1,000