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Example Stem 2: A punch recipe calls for 3 cups of orange juice for every 2 cups of cranberry juice.
Select all of the statements about the recipe that are correct.
A. There are 3 cups of orange juice for every 5 cups of punch.
B. The ratio of cranberry juice to orange juice is 2 to 3 .
C. The ratio of orange juice to cranberry juice is
2:1.
D. The ratio of cranberry juice to punch is
2:5.

Example Stem $2$ : A punch recipe calls for $3$ cups of orange juice for every $2$ cups of cranberry juice. $\newline$ Select all of the statements about the recipe that are correct. $\newline$ A. There are $3$ cups of orange juice for every $5$ cups of punch. $\newline$ B. The ratio of cranberry juice to orange juice is $2$ to $3$ . $\newline$ C. The ratio of orange juice to cranberry juice is $2: 1$ . $\newline$ D. The ratio of cranberry juice to punch is $2: 5$ .

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Write and solve equations for proportional relationships

Full solution

Q. Example Stem

2

: A punch recipe calls for

3

cups of orange juice for every

2

cups of cranberry juice.

\newline

Select all of the statements about the recipe that are correct.

\newline

A. There are

3

cups of orange juice for every

5

cups of punch.

\newline

B. The ratio of cranberry juice to orange juice is

2

to

3

.

\newline

C. The ratio of orange juice to cranberry juice is

2: 1

.

\newline

D. The ratio of cranberry juice to punch is

2: 5

.

Understand given ratio: To find the correct statements, we need to understand the ratio given in the recipe, which is $3$ cups of orange juice to $2$ cups of cranberry juice.
Evaluate Statement A: Statement A suggests that there are $3$ cups of orange juice for every $5$ cups of punch. This can't be true because if we have $3$ cups of orange juice and $2$ cups of cranberry juice, that makes $5$ cups of punch in total, not $5$ cups of punch for every $3$ cups of orange juice.
Evaluate Statement B: Statement B says the ratio of cranberry juice to orange juice is $2$ to $3$ . This is correct because for every $2$ cups of cranberry juice, there are $3$ cups of orange juice.
Evaluate Statement C: Statement C claims the ratio of orange juice to cranberry juice is $2:1$ . This is incorrect because the given ratio is $3$ cups of orange juice to $2$ cups of cranberry juice, not $2$ cups of orange juice to $1$ cup of cranberry juice.

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