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

Answer:

It is needed $\frac{8}{5}$ cups of yellow paint to mix with one cup

of red paint

Step-by-step 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

∵ $\frac{5}{8}(8):1(8)$

∴ 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 = $\frac{1*8}{5}=\frac{8}{5}$

∴ It is needed $\frac{8}{5}$ cups of yellow paint to mix with one

  cup of red paint