Question

Biết \(\frac{t}{x}=\frac{4}{3};\frac{y}{z}=\frac{3}{2};\frac{z}{x}=\frac{1}{6}\). Khi đó \(\frac{t}{y}=\)....

Answer 1

Ta có:\(\frac{z}{x}=\frac{1}{6}\Rightarrow\frac{z}{1}=\frac{x}{6}\Rightarrow\frac{z}{2}=\frac{x}{12}\left(1\right)\)

\(\frac{y}{z}=\frac{3}{2}\Rightarrow\frac{y}{3}=\frac{z}{2}\left(2\right)\)

\(\frac{t}{x}=\frac{4}{3}\Rightarrow\frac{t}{4}=\frac{x}{3}\Rightarrow\frac{t}{16}=\frac{x}{12}\left(3\right)\)

Từ (1),(2) và (3)\(\Rightarrow\frac{z}{2}=\frac{x}{12}=\frac{y}{3}=\frac{t}{16}\)

\(\Rightarrow\frac{t}{y}=\frac{16}{3}\)

Vậy \(\frac{t}{y}=\frac{16}{3}\)