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b:c = 4 : 5
= a:b:c = 8 : 12 : 15
a+b+c = 420
8x + 12x + 15x = 420
35x = 420
x = 420/35
x = 12
a = 8x = 8 x 12 = 96
b = 12x = 12 x 12 = 144
c = 15x = 15 x 12 = 180
*a=arman, b = boni, c = celia