Genovia is a city-state with approximately 50,000 citizens. In a recent newspaper poll of the citizens of Genovia, 43 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
Q. Genovia is a city-state with approximately 50,000 citizens. In a recent newspaper poll of the citizens of Genovia, 43 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
Determine fraction of citizens: Determine the fraction of citizens in favor of a democratic government. According to the poll, 43 of the citizens are in favor. This fraction represents the proportion of the total population that supports the idea.
Calculate number of citizens in favor: Calculate the number of citizens in favor.To find out how many citizens this fraction represents, multiply the total number of citizens by the fraction in favor.(43)×50,000=37,500
Verify the calculation: Verify the calculation.Check that the multiplication is correct: 50,000 divided by 4 equals 12,500, and 12,500 times 3 equals 37,500.
More problems from Multiply and divide rational numbers: word problems