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?

a. cups of purple paints required.

b.

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 = 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 .

so, the answer is:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)