Break it down according to what you know, then you will be able to figure it out. Here is what we know. A good base will be blue, since there is much based off of it.
x = blue
5x = red
3x = green
x + 9 = black
x + 2 = purple
6 = white
You know purple is 5, so figure out x, then you can do the rest.
Red = 5Blue
Green = 3Blue
Black = Blue + 9
Purple = Black - 7
Purple = Blue + 9 - 7
Purple = Blue + 2
But Purple = 5
Blue + 2 = 5
Blue = 3
then Red = 15
Green = 9
Black = 11
Black = 4
Purple = 5
White = 6
check: 15+9+11+4+5+6 = 50
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