complete the parts below. write your answers as whole numbers or fractions in simplest form.

(a) raina makes fruit salad using a ratio of 3 blueberries to 12 strawberries. give two different unit rates using this relationship.

one unit rate: select for each select
another unit rate: select for each select

(b) how many blueberries are needed if 16 strawberries are used?

blueberries

Question

complete the parts below. write your answers as whole numbers or fractions in simplest form.

(a) raina makes fruit salad using a ratio of 3 blueberries to 12 strawberries. give two different unit rates using this relationship.

one unit rate:   select for each select
another unit rate:   select for each select

(b) how many blueberries are needed if 16 strawberries are used?

blueberries

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Proportional Relationships", "Unit Rates" ], "new_concepts": [], "current_concepts": [ "Proportional Relationships", "Unit Rates" ] } ## Calculate unit rates for part (a) $$ \begin{aligned} &\text{Rate 1: } \frac{3 \text{ blueberries}}{12 \text{ strawberries}} = \frac{1}{4} \text{ blueberry for each strawberry} \ &\text{Rate 2: } \frac{12 \text{ strawberries}}{3 \text{ blueberries}} = 4 \text{ strawberries for each blueberry} \end{aligned} $$ ## Calculate blueberries needed for part (b) $$ \begin{aligned} &\text{Ratio: } \frac{\text{blueberries}}{\text{strawberries}} = \frac{1}{4} \ &\text{Blueberries} = 16 \times \frac{1}{4} = 4 \end{aligned} $$ ## Question (a) * One unit rate: $\frac{1}{4}$ blueberry for each strawberry * Another unit rate: 4 strawberries for each blueberry ## Question (b) * 4 blueberries { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Unit Rates" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate unit rates for part (a)

Calculate blueberries needed for part (b)

Answer:

Question (a)

Question (b)