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Genovia is a city-state with approximately 50,000 citizens. In a recent newspaper poll of the citizens of Genovia, 
(3)/(4) of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?
Choose 1 answer:
(A) 12,500
(B) 30,000
(c) 37,500
(D) 45,000

Genovia is a city-state with approximately 5050,000000 citizens. In a recent newspaper poll of the citizens of Genovia, 34 \frac{3}{4} of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?\newlineChoose 11 answer:\newline(A) 1212,500500\newline(B) 3030,000000\newline(C) 3737,500500\newline(D) 4545,000000

Full solution

Q. Genovia is a city-state with approximately 5050,000000 citizens. In a recent newspaper poll of the citizens of Genovia, 34 \frac{3}{4} of the poll respondents were in favor of establishing a democratic government. If the citizens polled are representative of all citizens of Genovia, approximately how many citizens are in favor of establishing a democratic government?\newlineChoose 11 answer:\newline(A) 1212,500500\newline(B) 3030,000000\newline(C) 3737,500500\newline(D) 4545,000000
  1. Determine Fraction of Citizens: According to the poll, 34\frac{3}{4} of the citizens are in favor. To find out how many citizens that is, we need to calculate 34\frac{3}{4} of the total population of Genovia. \newlineThe total population of Genovia is 50,00050,000. To find 34\frac{3}{4} of this population, we multiply 50,00050,000 by 34\frac{3}{4}.\newline(34)×50,000=3×50,0004(\frac{3}{4}) \times 50,000 = \frac{3 \times 50,000}{4}
  2. Perform Multiplication: Perform the multiplication.\newline3×50,0004=150,0004\frac{3 \times 50,000}{4} = \frac{150,000}{4}
  3. Divide to Get Citizens in Favor: Divide 150,000150,000 by 44 to get the number of citizens in favor.\newline150,0004=37,500\frac{150,000}{4} = 37,500

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