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Which is the most accurate way to estimate 35%35\% of 5050?\newlineChoices:\newline(A) 12×48\frac{1}{2} \times 48\newline(B) 12×51\frac{1}{2} \times 51\newline(C) 13×51\frac{1}{3} \times 51\newline(D) 13×48\frac{1}{3} \times 48

Full solution

Q. Which is the most accurate way to estimate 35%35\% of 5050?\newlineChoices:\newline(A) 12×48\frac{1}{2} \times 48\newline(B) 12×51\frac{1}{2} \times 51\newline(C) 13×51\frac{1}{3} \times 51\newline(D) 13×48\frac{1}{3} \times 48
  1. Calculate Percentage: Calculate 35%35\% of 5050 directly for comparison.\newline35%35\% of 50=0.35×50=17.550 = 0.35 \times 50 = 17.5
  2. Evaluate Choices: Evaluate each choice to find the closest estimate to 17.517.5.
    (A) 12×48=0.5×48=24\frac{1}{2} \times 48 = 0.5 \times 48 = 24
    (B) 12×51=0.5×51=25.5\frac{1}{2} \times 51 = 0.5 \times 51 = 25.5
    (C) 13×51=0.333×5117\frac{1}{3} \times 51 = 0.333\ldots \times 51 \approx 17
    (D) 13×48=0.333×4816\frac{1}{3} \times 48 = 0.333\ldots \times 48 \approx 16
  3. Compare Results: Compare the results from the choices to 17.517.5. Choice (C) 1717 is closest to 17.517.5.

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