Question

To make orange paint, Roger next 5/8 cup of red paint to his cup of yellow paint. He really likes of the resulting color and wants to make a large batch of the orange paint. How much yellow paint is needed to mix with one cup of red paint?

Answer 1

It is needed
`(8)/(5)` cups of yellow paint to mix with one cup

of red paint

Explanation:

* Lets explain how to solve the problem

- To make the orange pint, Roger mixed 5/8 cup of red paint to one

cup of yellow paint

∴ The ratio of red paint to yellow paint is 5/8 : 1

- Lets simplify it by multiplying the two terms of the ratio by 8

∵
`(5)/(8)(8):1(8)`

∴ The ratio of red paint : yellow paint = 5 : 8

∴ For every 5 cups of red paint we need 8 cups of yellow paint to

make the orange paint

- We need to know how many yellow paint is needed to mix with

one cup of red paint

∵ red paint : yellow paint

5 : 8

1 : ?

- By using cross multiplication we can find the number of yellow cups

∴ The number of the yellow cups =
`(1*8)/(5)=(8)/(5)`

∴ It is needed
`(8)/(5)` cups of yellow paint to mix with one

cup of red paint