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In which story could you use the quotient $12 \div 24$ to answer the question? $\newline$ Choices: $\newline$ (A) Diane is using a small shovel to fill a bucket with sand from her sandbox. It takes $24$ scoops for her to fill the $12$ -cup bucket. How much sand does Diane's shovel hold? $\newline$ (B) Diane is using a small shovel to fill a bucket with sand from her sandbox. It takes $12$ scoops for her to fill the $24$ -cup bucket. How much sand does Diane's shovel hold?

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Identify quotients of rational numbers: word problems

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Q. In which story could you use the quotient

12 \div 24

to answer the question?

\newline

Choices:

\newline

(A) Diane is using a small shovel to fill a bucket with sand from her sandbox. It takes

24

scoops for her to fill the

12

-cup bucket. How much sand does Diane's shovel hold?

\newline

(B) Diane is using a small shovel to fill a bucket with sand from her sandbox. It takes

12

scoops for her to fill the

24

-cup bucket. How much sand does Diane's shovel hold?

Identify Story Based on Quotient: Identify the correct story based on the quotient $12 \div 24$ . Calculate the quotient to understand its meaning in context. $\newline$ $12 \div 24 = 0.5$ $\newline$ This means each scoop holds $0.5$ cups of sand.
Calculate Quotient Meaning: Match the quotient to the correct story choice. $\newline$ In choice (A), $24$ scoops fill a $12$ -cup bucket, so each scoop holds $12 \div 24 = 0.5$ cups. This matches our calculation. $\newline$ In choice (B), $12$ scoops fill a $24$ -cup bucket, so each scoop would hold $24 \div 12 = 2$ cups, which does not match our quotient.

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