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.
![A discrete diagram.](https://cms-im.s3.amazonaws.com/BwEAmBPhMb1vGDgx9nmieWg7?response-content-disposition=inline%3B%20filename%3D%226-6.2.B.PP_Image_2.png%22%3B%20filename%2A%3DUTF-8%27%276-6.2.B.PP_Image_2.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T003721Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=62c550078ae0d29eff233d90d8c4653e6c749009f44a8ece6b680a6b67d9b9c0)
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.
![Number line with 5 tick marks. Labels: starting with 18, blank, 30, blank, 42.](https://cms-im.s3.amazonaws.com/yYf4tUmiWzkz6zdSV3RJtQA9?response-content-disposition=inline%3B%20filename%3D%226-6.2.A1.PP.Image.Rev.0202.png%22%3B%20filename%2A%3DUTF-8%27%276-6.2.A1.PP.Image.Rev.0202.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T003721Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=a7160825d57981d318f56276dbabc16e164fa334ba64d1847506aa7c148064ba)
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.)
- \(5 \boldcdot \text{_______} = 1\)
- \(17 \boldcdot \text{_______} = 1\)
- \(b \boldcdot \text{_______} = 1\)