Final answer:
After calculating 49% of 2647 and 27% of 7589, we set up an equation to solve for the square root of ?. However, after solving, we find that the square root of the resulting number does not match any of the provided options, suggesting a possible mistake in the options given. So the correct answer is option B.
Step-by-step explanation:
The student is looking to solve for the question mark in an algebraic expression involving square roots and percentages. The expression provided is √? x 49% of 2647 = 27% of 7589. First, we need to calculate the percentage of 2647 and 7589, which are 49% and 27% respectively.
49% of 2647 is (49/100) x 2647 = 1297.03.
27% of 7589 is (27/100) x 7589 = 2048.97.
Next, we set up the equation √? x 1297.03 = 2048.97. To find the value of ?, we divide 2048.97 by 1297.03, which gives us 1.579. The square of 1.579 is close to 2.49, and since we're asked to find a square root value that yields a whole number, we can conclude that the square root of our answer is 1.58 approximately, which when squared gives us option (b) 2.49, close to 2.50 or 5 squared which is 25. Therefore, the correct answer is none of the options given, and seems to be a mistake in the provided options.