# Lesson 7

Creating Double Number Line Diagrams

### Problem 1

A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Complete the double number line diagram to show the amount of cinnamon and sugar in 3, 4, and 5 batches.

### Solution

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### Problem 2

One batch of meatloaf contains 2 pounds of beef and \(\frac{1}{2}\) cup of bread crumbs. Complete the double number line diagram to show the amounts of beef and bread crumbs needed for 1, 2, 3, and 4 batches of meatloaf.

### Solution

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### Problem 3

A recipe for tropical fruit punch says, “Combine 4 cups of pineapple juice with 5 cups of orange juice.”

- Create a double number showing the amount of each type of juice in 1, 2, 3, 4, and 5 batches of the recipe.
- If 12 cups of pineapple juice are used with 20 cups of orange juice, will the recipe taste the same? Explain your reasoning.
- The recipe also calls for \(\frac13\) cup of lime juice for every 5 cups of orange juice. Add a line to your diagram to represent the amount of lime juice in different batches of tropical fruit punch.

### Solution

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### Problem 4

One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. Mai made a large amount of pink paint using 14 cups of red paint.

- How many batches of pink paint did she make?
- How many cups of white paint did she use?

### Solution

### Problem 5

- Find three different ratios that are equivalent to the ratio \(3:11\).
- Explain why your ratios are equivalent.

### Solution

### Problem 6

Here is a diagram that represents the pints of red and yellow paint in a mixture.

Select **all** statements that accurately describe the diagram.

The ratio of yellow paint to red paint is 2 to 6.

For every 3 pints of red paint, there is 1 pint of yellow paint.

For every pint of yellow paint, there are 3 pints of red paint.

For every pint of yellow paint there are 6 pints of red paint.

The ratio of red paint to yellow paint is \(6:2\).