A recipe for maroon paint says, “Mix 5 ml of red paint with 3 ml of blue paint.”

1. Use snap cubes to represent the amounts of red and blue paint in the recipe. Then draw a sketch of your snap-cube representation of the maroon paint.

   1. What amount does each cube represent?
   2. How many milliliters of maroon paint will there be?

2. 1. Suppose each cube represents 2 ml. How much of each color paint is there?

      Red: _______ ml

      Blue: _______ ml

      Maroon: _______ ml

   2. Suppose each cube represents 5 ml. How much of each color paint is there?

      Red: _______ ml

      Blue: _______ ml

      Maroon: _______ ml

3. 1. Suppose you need 80 ml of maroon paint. How much red and blue paint would you mix? Be prepared to explain your reasoning.

      Red: _______ ml

      Blue: _______ ml

      Maroon: 80 ml

   2. If the original recipe is for one batch of maroon paint, how many batches are in 80 ml of maroon paint?

Solve each of the following problems and show your thinking. If you get stuck, consider drawing a tape diagram to represent the situation.

1. Elena makes taco seasoning using 4 parts chili powder, 1 part garlic powder, and 2 parts ground cumin. If Elena uses 20 teaspoons of ground cumin, how much taco seasoning will she have?

   

2. 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?

3. A recipe for concrete says, “Mix 3 parts gravel with 2 parts sand and 1 part cement.” If a project needs 42 gallons of concrete in all, how much of each ingredient is needed?

1. 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.

2. Create a visual display that includes:

   • The new problem that you wrote, without the solution.
   • Enough work space for someone to show a solution.

3. 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.

4. When the solution to the problem you invented is being shared by another group, check their answer for accuracy.