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Charong has $21$ cousins. If $12$ of Charong's cousins live in the same city as Charong does, what is the ratio of the number of Charong's cousins who live in the same city as Charong does to the total number of cousins Charong has? $\newline$ Choose $1$ answer: $\newline$ (A) $3:7$ $\newline$ (B) $4:7$ $\newline$ (C) $4:11$ $\newline$ (D) $7:4$

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Write a linear function: word problems

Full solution

Q. Charong has

21

cousins. If

12

of Charong's cousins live in the same city as Charong does, what is the ratio of the number of Charong's cousins who live in the same city as Charong does to the total number of cousins Charong has?

\newline

Choose

1

answer:

\newline

(A)

3:7

\newline

(B)

4:7

\newline

(C)

4:11

\newline

(D)

7:4

Identify Numbers: Identify the numbers to be used in the ratio. Charong has $21$ cousins in total and $12$ of those live in the same city as Charong.
Write Ratio: Write the ratio of cousins living in the same city to total cousins. $\newline$ The ratio is the number of cousins living in the same city $12$ to the total number of cousins $21$ .
Simplify Ratio: Simplify the ratio. $\newline$ To simplify the ratio, we find the greatest common divisor (GCD) of $12$ and $21$ , which is $3$ . $\newline$ Divide both numbers by the GCD to simplify the ratio. $\newline$ $12 \div 3 = 4$ $\newline$ $21 \div 3 = 7$ $\newline$ So, the simplified ratio is $4:7$ .

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