# Lesson 3

Recipes

### Problem 1

A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

### Solution

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### Problem 2

Priya makes chocolate milk by mixing 2 cups of milk and 5 tablespoons of cocoa powder. Draw a diagram that clearly represents two batches of her chocolate milk.

### Solution

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### Problem 3

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.

1. Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.
2. Describe another mixture of sparkling water and grape juice that would taste different than this recipe.

### Solution

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### Problem 4

Write the missing number under each tick mark on the number line.

### Solution

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(From Unit 2, Lesson 1.)

### Problem 5

At the kennel, there are 6 dogs for every 5 cats.

1. The ratio of dogs to cats is ______ to ______.
2. The ratio of cats to dogs is ______ to ______.
3. For every ______ dogs there are ______ cats.
4. The ratio of cats to dogs is ______ : ______.

### Solution

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(From Unit 2, Lesson 1.)

### Problem 6

Elena has 80 unit cubes. What is the volume of the largest cube she can build with them?

### Solution

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(From Unit 1, Lesson 17.)

### Problem 7

Fill in the blanks to make each equation true.

1. $$3 \boldcdot \frac13 = \text{_______}$$
2. $$10 \boldcdot \frac{1}{10} = \text{_______}$$
3. $$19 \boldcdot \frac{1}{19} = \text{_______}$$
4. $$a \boldcdot \frac{1}{a}= \text{_______}$$
(As long as $$a$$ does not equal 0.)
1. $$5 \boldcdot \text{_______} = 1$$
2. $$17 \boldcdot \text{_______} = 1$$
3. $$b \boldcdot \text{_______} = 1$$

### Solution

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(From Unit 2, Lesson 1.)