I threw three chicken for a handful of grains and I noticed that it eat in a ratio of 8:7:6 and two of them grabbed 156 grains. How many grains have fought that chicken?

Correct result:

x =  96
y =  84
z =  72


y+z =156; 7 x = 8 y; 6 y = 7 z

y+z =156
7•x = 8•y
6•y = 7•z

y+z = 156
7x-8y = 0
6y-7z = 0

x = 96
y = 84
z = 72

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