Question

A certain shade of pink is created by by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should be added to 1 cup of white paint. Cups of white paint. Cups of red paint 1. ? 7. 3 And what is the Constant of Proportionality?

Answer 1

0.4286 cups or
`(3)/(7)` of red paint should be added to 1 cup of white paint.

`(3)/(7)` is the Constant of Proportionality.

Explanation:

For a certain pink shades , 3 cups of red paint requires 7 cups of white paints.

So, according to information, 7 cups of white paints need to 3 cups of red paints.

So, 1 cup of white paint will need :
`(3)/(7)=0.4286 cups` of red paint.

0.4286 cups or
`(3)/(7)` of red paint should be added to 1 cup of white paint.

Cups of red paint ∝ Cups of white paint

(Cups of red paint) = k × (Cups of whitepaint)

k = Constant of Proportionality

`k=\frac{\text{Cups of red paint}}{\text{Cups of white paint}}=(3)/(7)`

`(3)/(7)` is the Constant of Proportionality.

Answer 2

→[ Certain shade=red paint+ white paint]

→3 cups of red paint=7 cups of white paint

Dividing both side by 7,we get

→ 1 cup of white paint=3/7 cups of white paint

So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.

Cups of white paint: Cups of red paint= 1. :
`(7)/(3)=(3)/(7)`

k=
`(3)/(7)` is constant of proportionality.