Question

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1. Part A: Write a sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint. (4 points) Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning. (4 points) Part C: If Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint?

Answer 1

Answer:

Part A: Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B: $\frac{1}{3}$

Part C: $8

Step-by-step explanation:

Given that:

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1.

Part A:

The number of cups of blue paint = 3

The number of cups of red paint = 1

In sentence form, it can be written that:

Number of cups of blue paint are 3 that are mixed with each cup of red paint.

Part B:

3 cups of blue paint requires 1 cup of red paint.

$\frac{3}{3}=1$ cup of blue paint requires $\frac{1}{3}$ cup of red paint.

Here, unitary method is used.

So, $\frac{1}{3}$ cup of red paint should be added to each cup of blue paint to make shade of purple.

Part C:

6 cups of blue paint are purchased for $48.

1 cup of blue paint is purchased for $\frac{\ 48}{6} = \ 8$