$A$ liquid mixture of volume $V$ has two liquids as its ingredients with densities $\alpha$ and $\beta$. If the density of the mixture is $\sigma$,then the mass of the first liquid in the mixture is ............

• A
  $\frac{\alpha V[\sigma \beta+1]}{\beta[\alpha+\alpha]}$
• B
  $\frac{\alpha V[\sigma-\beta]}{[\sigma+\beta]}$
• C
  $\frac{\alpha V(\beta-\sigma)}{\beta-\alpha}$
• D
  $\frac{\alpha V[1-\sigma \alpha]}{\beta[\alpha-\sigma]}$