Set 1: Linear Equations (Intermediate)

Choice A is correct. Choice C is the correct answer. 1. Define: Adults = $a$, Kids = $100- a$. 2. Equation: $10a + 5(100 - a) = 800$ 3. Simplify: $10a + 500 - 5 a = 800$ 4. Combine: $5a = 300$ 5. Divide by 5: $a = 60$ 6. Verify: $60(10) + 40(5) = 600 + 200 = 800$ ✓ Choice B is incorrect because this is the number of kids. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.