To determine the mole ratios of the substances, we need to know the balanced chemical reaction of the system. The reaction between hydrazine and hydrogen peroxide yields to nitrogen and water. The balanced chemical reaction is:
N2H4 + 2H2O2 --> N2 + 4H2O
Therefore, the mole ratio between hydrazine and hydrogen peroxide is 1:2 and the mole ratio between hydrazine and water is 1:4.