Chicken

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

Final Answer:

x =  96
y =  84
z =  72

Step-by-step explanation:

$$\begin{gathered} x:y:z=8:7:6 \\ y+z=156 \\ 156=(7+6)a \\ a=\frac{156}{7+6}=12 \\ x=8\cdot a=8\cdot 12=96 \end{gathered}$$

$y=7\cdot a=7\cdot 12=84$

$z=6\cdot a=6\cdot 12=72$

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