Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and the other 9 cousins who live in Michigan. What is the ratio of Quinn's cousins who live in Texas to her total number of cousins? Choose 1 answer: (A) 3 to 16 (B) 4 to 16 (C) 7 to 16 (D) 9 to 16

Calculate total cousins: Calculate the total number of cousins Quinn has. Quinn has 4 cousins in Texas, 3 in Nebraska, and 9 in Michigan. To find the total, we add these numbers together. 4 (Texas) + 3 (Nebraska) + 9 (Michigan) = 16 (Total cousins)Write Texas ratio: Write the ratio of cousins in Texas to the total number of cousins. Quinn has 4 cousins in Texas and 16 cousins in total. The ratio is therefore 4 to 16.Simplify if possible: Simplify the ratio, if possible. The ratio 4 to 16 can be simplified by dividing both numbers by their greatest common divisor, which is 4. (4 ÷ 4) to (16 ÷ 4) = 1 to 4 However, the question does not ask for a simplified ratio, so we should leave it as 4 to 16 to match the answer choices.

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Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and the other 9 cousins who live in Michigan.
What is the ratio of Quinn's cousins who live in Texas to her total number of cousins?
Choose 1 answer:
(A) 3 to 16
(B) 4 to 16
(C) 7 to 16
(D) 9 to 16

Quinn has a large family. She has $4$ cousins who live in Texas, $3$ cousins who live in Nebraska, and the other $9$ cousins who live in Michigan. $\newline$ What is the ratio of Quinn's cousins who live in Texas to her total number of cousins? $\newline$ Choose $1$ answer: $\newline$ (A) $3$ to $16$ $\newline$ (B) $4$ to $16$ $\newline$ (C) $7$ to $16$ $\newline$ (D) $9$ to $16$

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Grade 8

Identify equivalent linear expressions: word problems

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Q. Quinn has a large family. She has

4

cousins who live in Texas,

3

cousins who live in Nebraska, and the other

9

cousins who live in Michigan.

\newline

What is the ratio of Quinn's cousins who live in Texas to her total number of cousins?

\newline

Choose

1

answer:

\newline

(A)

3

16

\newline

(B)

4

16

\newline

(C)

7

16

\newline

(D)

9

16

Calculate total cousins: Calculate the total number of cousins Quinn has. $\newline$ Quinn has $4$ cousins in Texas, $3$ in Nebraska, and $9$ in Michigan. To find the total, we add these numbers together. $\newline$ $4$ (Texas) + $3$ (Nebraska) + $9$ (Michigan) = $16$ (Total cousins)
Write Texas ratio: Write the ratio of cousins in Texas to the total number of cousins. $\newline$ Quinn has $4$ cousins in Texas and $16$ cousins in total. The ratio is therefore $4$ to $16$ .
Simplify if possible: Simplify the ratio, if possible. $\newline$ The ratio $4$ to $16$ can be simplified by dividing both numbers by their greatest common divisor, which is $4$ . $\newline$ $(4 \div 4)$ to $(16 \div 4) = 1$ to $4$ $\newline$ However, the question does not ask for a simplified ratio, so we should leave it as $4$ to $16$ to match the answer choices.