Question

A certain shade of lavender is created by adding 5 cups of purple paint to 8 cups of white paint. a. How many cups of purple paint should be added to 1 cup of white paint? Cups of white paint Cups of purple paint 1 8 b. What is the constant of proportionality?

Answer 1

Answer:

a. $\frac{5}8$ cups of purple paints required.

b. $\frac{5}8$

Step-by-step explanation:

Given that

Number of purple paints required with 8 cups of white paint = 5

To find:

a. Number of cups of purple paint needed to be added to 1 cup of white paint ?

b. Constant of proportionality.

Solution:

Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.

Let us use the given statement:

8 cups of white paint require = 5 cups of purple paint

Let us divide both sides by 8:

1 cup of white paint require = $\frac{5}8$ cups of purple paint

Answer b.

Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.

Here, the ratio between number of cups of purple paint and number of cups of white paint is:

5:8 or $\frac{5}8$.

so, the answer is: $\frac{5}8$