We will have the following:
R 60 Cups
B 20 Cups
Y 30 Cups
O = 5Y:3R
P = 7R:2B
Here R, B, Y, O & P are red, blue, yellow, orange, and purple respectively.
Now, we proceed as follows:
and:
We will also have:
35/3Y:7R:2B [This is the proportional relationship of the base colors at any given time under the constraints of the mixing of colors].
35/3Y + 7R + 2B
This means that for each cup of yellow paint we will be able to use 1/2 cup to mix.
Now, we solve the system:
R B Y
7 : 2 : 35/3 = 62/3
*v1 = (110)/(62/3) = 165/31
**v2 =