IM 6.2.15 Lesson: Part-Part-Whole Ratios

Select [b]all [/b]the equations that are true.
A recipe for maroon paint says, “Mix 5 ml of red paint with 3 ml of blue paint.” Imagine you use snap cubes to represent the amounts of red and blue paint in the recipe. Draw a sketch of this snap-cube representation of the maroon paint.
What amount does each cube represent?
How many milliliters of maroon paint will there be?
Suppose each cube represents 2 ml. How much of each color paint is there?[br][br]Red: ______ml  Blue: ______ml  Maroon:______ml
Suppose each cube represents 5 ml. How much of each color paint is there?[br][br]Red: ______ml  Blue: ______ml  Maroon:______ml
Suppose you need 80 ml of maroon paint. How much red and blue paint would you mix? [br][br]Red: ______ml  Blue: ______ml  Maroon: 80ml
If the original recipe is for one batch of maroon paint, how many batches are in 80 ml of maroon paint?[br]
Solve each of the following problems and show your thinking. If you get stuck, consider drawing a tape diagram to represent the situation.
The ratio of students wearing sneakers to those wearing boots is 5 to 6. If there are 33 students in the class, and all of them are wearing either sneakers or boots, how many of them are wearing sneakers? [br]
A recipe for chicken marinade says, “Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice.” If you need 42 cups of marinade in all, how much of each ingredient should you use?[br]
Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. If one batch of fruit punch includes 30 cups of apple juice, how large is this batch of fruit punch? [br]
Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. How much fruit punch can you make if you have 50 cups of cranberry juice, 40 cups of apple juice, and 30 cups of grape juice?
Invent another ratio problem that can be solved with a tape diagram and solve it. If you get stuck, consider looking back at the problems you solved in the earlier activity.
Create a visual display that includes the new problem that you wrote, without the solution, and enough work space for someone to show a solution.
Trade your display with another group, and solve each other’s problem. Include a tape diagram as part of your solution. Be prepared to share the solution with the class.[br][br]When the solution to the problem you invented is being shared by another group, check their answer for accuracy.[br]

IM 6.2.15 Practice: Part-Part-Whole Ratios

Here is a tape diagram representing the ratio of red paint to yellow paint in a mixture of orange paint.[br][br][img]data:image/png;base64,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[/img][br][br]What is the ratio of yellow paint to red paint?
How many total cups of orange paint will this mixture yield?
At the kennel, the ratio of cats to dogs is 4 : 5. There are 27 animals in all. Here is a tape diagram representing this ratio.
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[/img][br][br]What is the value of each small rectangle?
How many dogs are at the kennel?
How many cats are at the kennel?
Last month, there were 4 sunny days for every rainy day. If there were 30 days in the month, how many days were rainy? Explain your reasoning. If you get stuck, consider using a tape diagram.
Noah entered a 100-mile bike race. He knows he can ride 32 miles in 160 minutes. At this rate, how long will it take him to finish the race? Use each table to find the answer.
[color=#ff0000][color=#000000]Explain which table you think works better in finding the answer.[/color][/color]
A cashier worked an 8-hour day, and earned $58.00. The double number line shows the amount she earned for working different numbers of hours. 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[/img][br][br]How much does the cashier earn per hour? [i]Explain [/i]your reasoning
How much does the cashier earn if she works 3 hours? [i]Explain [/i]your reasoning.
A grocery store sells bags of oranges in two different sizes.[br][list][*]The 3-pound bags of oranges cost $4.[/*][*]The 8-pound bags of oranges for $9.[/*][/list][br]Which oranges cost less per pound? [i]Explain [/i]your reasoning.

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