Lesson 3
Recipes
Let’s explore how ratios affect the way a recipe tastes.
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.
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.
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.
 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.
 Describe another mixture of sparkling water and grape juice that would taste different than this recipe.
Problem 4
Write the missing number under each tick mark on the number line.
Problem 5
At the kennel, there are 6 dogs for every 5 cats.
 The ratio of dogs to cats is ______ to ______.
 The ratio of cats to dogs is ______ to ______.
 For every ______ dogs there are ______ cats.
 The ratio of cats to dogs is ______ : ______.
Problem 6
Elena has 80 unit cubes. What is the volume of the largest cube she can build with them?
Problem 7
Fill in the blanks to make each equation true.
 \(3 \boldcdot \frac13 = \text{_______}\)
 \(10 \boldcdot \frac{1}{10} = \text{_______}\)
 \(19 \boldcdot \frac{1}{19} = \text{_______}\)

\(a \boldcdot \frac{1}{a}= \text{_______}\)
(As long as \(a\) does not equal 0.)
 \(5 \boldcdot \text{_______} = 1\)
 \(17 \boldcdot \text{_______} = 1\)
 \(b \boldcdot \text{_______} = 1\)