Answer:
It is needed [tex]\frac{8}{5}[/tex] 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
∵ [tex]\frac{5}{8}(8):1(8)[/tex]
∴ 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 = [tex]\frac{1*8}{5}=\frac{8}{5}[/tex]
∴ It is needed [tex]\frac{8}{5}[/tex] cups of yellow paint to mix with one
cup of red paint
