Question

Cantitatea de 994 l de apa este turnata in trei butoaie. In al doilea butoi s-a pus jumatate din primul, iar in al treilea jumatate din al doilea. Cati litri de apa sunt in fiecare butoi? Ofer coroana.

Answer 1

$x+y+z=994 \\\\ y=\frac{x}{2} \\\\ z=\frac{y}{2}=\frac{\frac{x}{2}}{2}= \frac{x}{2}*\frac{1}{2} \to \frac{x}{4} \\\\\\ x^{(4}+\frac{x}{2}^{(2}+\frac{x}{4}=994^{(4} \\\\ 4x+2x+x=3976 \\\\ 7x=3976 \ \ \ |:7 \\\\ \boxed{x=568} \\\\ y=\frac{x}{2}= \frac{568}{2} \to \boxed{y=284} \\\\ z=\frac{x}{4}=\frac{568}{4} \to \boxed{z=142}$