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.
![A discrete diagram.](https://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141944Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9de35ec9b96e5e4a469777c72b2eb46c3ea55e193f7419f38974679ceb260cf3)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
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
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
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.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
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://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T141944Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=663b480a2f4dde8c4f6167f8cf2abc5c13ad9f248dfcd7d88f26472c6d15052e)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 2, Lesson 1.)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 ______ : ______.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(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
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 1, Lesson 17.)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.)
- \(5 \boldcdot \text{_______} = 1\)
- \(17 \boldcdot \text{_______} = 1\)
- \(b \boldcdot \text{_______} = 1\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 2, Lesson 1.)