Solving Problems Using Proportional Reasoning

Apply Proportional Reasoning to Solve Problems

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Apply Proportional Reasoning to Solve Problems

Fill in the Blank

How much of each ingredient do I need to make a single serving? (hint: you can use unit rates and/or proportions)

_____ Cup(s) of Cranberry Juice

Fill in the Blank

How much of each ingredient do I need to make a single serving? (hint: you can use unit rates and/or proportions)

1 Cup of Cranberry Juice

_____ Cup(s) of Orange Juice

Fill in the Blank

How much of each ingredient do I need to make a single serving? (hint: you can use unit rates and/or proportions)

1 Cups of Cranberry Juice

$$\frac{1}{2}$$  Cup of Orange Juice

_____ Cup(s) of Ginger Ale

Multiple Choice

There are 20 cups of cranberry juice for every 10 cups of orange juice. What is unit rate for cups of cranberry juice per cups of orange juice?

• 20

• 10

• 2

• 5

Multiple Choice

Which graph would represent the proportional relationship between the cranberry juice and the orange juice?

There are 20 cups of cranberry juice per 10 cups of orange juice. (cranberry juice is on y-axis and orange on x-axis)

Multiple Choice

The original recipe states that 5 cups of ginger ale are needed to make 20 servings of punch. Which proportion can be used to find the number of cups of ginger ale needed for 10 servings of punch.

• $$\frac{20}{5}=\frac{g}{10}$$  

• $$\frac{5}{20\ }\ =\ \frac{10}{g}$$  

• $$\frac{5}{20}\ =\ \frac{g}{10}$$  

Fill in the Blank

The original recipe states that 5 cups of ginger ale are needed to make 20 servings of punch. Solve the proportion below that can be used to find the number of cups of ginger ale needed for 10 servings.
$$\frac{5}{20}=\ \frac{g}{10}$$  

g = _____

Open Ended

Write a recipe for the amount of ingredients needed for 10 servings of Orange-berry Punch. List the amount of cranberry juice, ginger ale, and orange juice needed.

“Orange-berry Punch Recipe”

Serving Size: 20

20 Cups of Cranberry Juice

10 Cups of Orange Juice

5 cups of Ginger Ale

Answer

Cranberry Juice: 10 cups

Orange Juice: 5 cups

Ginger Ale: 2.5 cups

Multiple Choice

If the desks are 2 inches apart on my scale drawing, how far apart are the desks in real life if 1 inch drawing: 30 inches actual?

• 30

• 60

• 20

• 15