Karen thought of a number between 10 and 20. She multiplied it by 4, then divided the result by 2. Between which two numbers does the final number lie?

Answer

Let's denote the number Karen thought of as x, where 10 < x < 20. 1. First, Karen multiplied the number by 4: 4 * x 2. Then she divided the result by 2: (4 * x) / 2 = 2 * x 3. Now, we need to determine the range of 2 * x based on the values of x. Since x is between 10 and 20: - The minimum value occurs when x = 10: 2 * 10 = 20 - The maximum value occurs when x = 20: 2 * 20 = 40 4. Thus, the result, 2 * x, lies between 20 and 40: 20 < 2 * x < 40 To answer the question, we look at the provided options: - A. 5 and 10 (not correct) - B. 20 and 40 (correct) - C. 40 and 80 (not correct) - D. 80 and 160 (not correct) Therefore, the final number lies between 20 and 40.