There are three different liquids, with densities `rho_(1),rho_(2)` and `rho_(3)` in a U-shaped container as shown in the picture the lengths shown are `H_(1)=15cm` and `H_(2)=10cm` which of the following equations gives the correct relation between the densities of the fluids in the container?
A. `3rho_(3) = 2rho_(1)+rho_(2)`
B. `rho_(3) = 2rho_(1)+3rho_(2)`
C. `2rho_(3) = 3rho_(1)+rho_(2)`
D. `rho_(3) = 3rho_(1)+2 rho_(2)`
