242 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x? Select the correct option
A) 120 B) 150 C) 180 D) 200 E) 220

Rationale: "let b be the number of boys in the school . 242 = xb / 100 b = 0.5 x 24200 = 0.5 x ^ 2 x ^ 2 = 48400 x = 220 the answer is e ."
Answer: E