Genovia is a city-state with approximately $50,000$ citizens. In a recent newspaper poll of the citizens of Genovia, $\frac{3}{4}$ 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? $\newline$ Choose $1$ answer: $\newline$ (A) $12,500$ $\newline$ (B) $30,000$ $\newline$ (C) $37,500$ $\newline$ (D) $45,000$

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Grade 8

Multiply and divide rational numbers: word problems

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Q. Genovia is a city-state with approximately

50,000

citizens. In a recent newspaper poll of the citizens of Genovia,

\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?

\newline

Choose

1

answer:

\newline

(A)

12,500

\newline

(B)

30,000

\newline

(C)

37,500

\newline

(D)

45,000

Determine fraction of citizens: Determine the fraction of citizens in favor of a democratic government. According to the poll, $\frac{3}{4}$ 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. $\newline$ To find out how many citizens this fraction represents, multiply the total number of citizens by the fraction in favor. $\newline$ $(\frac{3}{4}) \times 50,000 = 37,500$
Verify the calculation: Verify the calculation. $\newline$ Check that the multiplication is correct: $50,000$ divided by $4$ equals $12,500$ , and $12,500$ times $3$ equals $37,500$ .