Lesson 4

Color Mixtures

Let’s see what color-mixing has to do with ratios.

Problem 1

Here is a diagram showing a mixture of red paint and green paint needed for 1 batch of a particular shade of brown.

A discrete diagram for two quantities labeled "red paint, in cups" and "green paint, in cups". The data are as follows: red paint, 2 squares. green paint, 3 squares.

Add to the diagram so that it shows 3 batches of the same shade of brown paint.

Problem 2

Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint. Which of these mixtures produce the same shade of green paint as Diego’s mixture? Select all that apply.

A:

For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint.

B:

Mix tablespoons of blue paint and yellow paint in the ratio 1 : 5 .

C:

Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.

D:

Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.

E:

For every tablespoon of blue paint, mix in 5 tablespoons of yellow paint.

Problem 3

To make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of white paint.

  1. Explain how Clare can make 2 batches of sky blue paint.
  2. Explain how to make a mixture that is a darker shade of blue than the sky blue.
  3. Explain how to make a mixture that is a lighter shade of blue than the sky blue.

Problem 4

A smoothie recipe calls for 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup.

  1. Create a diagram to represent the quantities of each ingredient in the recipe.
  2. Write 3 different sentences that use a ratio to describe the recipe.
(From Unit 2, Lesson 2.)

Problem 5

Write the missing number under each tick mark on the number line.

Number line. 7 tick marks. Labels starting at first tick: 0, blank, 6, blank, blank, 15, blank.

(From Unit 2, Lesson 1.)

Problem 6

Find the area of the parallelogram. Show your reasoning.

A parallelogram in a grid. The parallelogram has two vertical sides that are 3 units tall and two sides that rise 4 units over 7 units across.
(From Unit 1, Lesson 4.)

Problem 7

Complete each equation with a number that makes it true.

  1. \(11 \boldcdot \frac14= \text{_______}\)
  2. \(7 \boldcdot \frac14= \text{_______}\)
  3. \(13 \boldcdot \frac{1}{27}= \text{_______}\)
  1. \(13 \boldcdot \frac{1}{99}= \text{_______}\)
  2. \(x \boldcdot \frac{1}{y}= \text{_______}\)
    (As long as \(y\) does not equal 0.)
(From Unit 2, Lesson 1.)