Lesson 8
How Much for One?
Let’s use ratios to describe how much things cost.
Problem 1
In 2016, the cost of 2 ounces of pure gold was \$2,640. Complete the double number line to show the cost for 1, 3, and 4 ounces of gold.
![Double number line. Cost in dollars. Ounces of Gold.](https://cms-im.s3.amazonaws.com/Myiq9z6ajcwfTkERuwGRJiSg?response-content-disposition=inline%3B%20filename%3D%226-6.2.C.PP_Image_11.png%22%3B%20filename%2A%3DUTF-8%27%276-6.2.C.PP_Image_11.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=20240727T000020Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=550c9d8bffc433de629c0095c3d1e3b43a7b4827b34415a614f76513fba03326)
Problem 2
The double number line shows that 4 pounds of tomatoes cost \$14. Draw tick marks and write labels to show the prices of 1, 2, and 3 pounds of tomatoes.
![Double number line. Top number line labeled “pounds of tomatoes.” The bottom number line labeled “cost in dollars.”](https://cms-im.s3.amazonaws.com/qcLDEPQfFvupLH4985UNc6eG?response-content-disposition=inline%3B%20filename%3D%226-6.2.C.PP_Image_13.png%22%3B%20filename%2A%3DUTF-8%27%276-6.2.C.PP_Image_13.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=20240727T000020Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=501a9c8a141949a02bae1e64c10a22e9f99101051399b65becf8feef2dbd9c00)
Problem 3
4 movie tickets cost $48. At this rate, what is the cost of:
- 5 movie tickets?
- 11 movie tickets?
Problem 4
Priya bought these items at the grocery store. Find each unit price.
- 12 eggs for $3. How much is the cost per egg?
- 3 pounds of peanuts for $7.50. How much is the cost per pound?
- 4 rolls of toilet paper for $2. How much is the cost per roll?
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10 apples for $3.50. How much is the cost per apple?
Problem 5
Clare made a smoothie with 1 cup of yogurt, 3 tablespoons of peanut butter, 2 teaspoons of chocolate syrup, and 2 cups of crushed ice.
- Kiran tried to double this recipe. He used 2 cups of yogurt, 6 tablespoons of peanut butter, 5 teaspoons of chocolate syrup, and 4 cups of crushed ice. He didn’t think it tasted right. Describe how the flavor of Kiran's recipe compares to Clare's recipe.
- How should Kiran change the quantities that he used so that his smoothie tastes just like Clare's?
Problem 6
A drama club is building a wooden stage in the shape of a trapezoidal prism. The height of the stage is 2 feet. Some measurements of the stage are shown here.
![Trapezoidal prism and trapezoid.](https://cms-im.s3.amazonaws.com/PL5CrZ2hCyhXqtoxmCxDTya1?response-content-disposition=inline%3B%20filename%3D%226-6.1.E.PP.New.Image.20a.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.E.PP.New.Image.20a.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=20240727T000020Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=12bba08b539818822110063d34a7952efd0e91ad34fa717450c75344b7e7ea7d)
What is the area of all the faces of the stage, excluding the bottom? Show your reasoning. If you get stuck, consider drawing a net of the prism.