\(2KMnO_4\underrightarrow{t^0}K_2MnO_4+MnO_2+O_2\)
\(\dfrac{x}{158}.........\dfrac{x}{158}........\dfrac{x}{158}\)
\(2Cu+O_2\underrightarrow{t^0}2CuO\)
\(\dfrac{y}{64}...........\dfrac{y}{64}\)
\(m_A=m_B\)
\(\Rightarrow x+y=\dfrac{x}{158}\cdot197+\dfrac{x}{158}\cdot87+\dfrac{80y}{64}\)
\(\Rightarrow x+y=\dfrac{142x}{79}+1.25y\)
\(\Rightarrow0.25y=-\dfrac{63}{79}x\)
\(\Rightarrow\dfrac{x}{y}=-\dfrac{79}{252}\)