Find the height of fluid in a U-tube container?

[qud]

Homework Statement

A block of mass 20 g sits at rest on a plate that is at the top of the fluid on one side of a U-tube as shown below. The U-tube contains two different fluids with densities ρ1 = 1070 kg/m3 and ρ2 = 650 kg/m3 and has a cross sectional area A = 4.6 * 10-4 m2. The surfaces are offset by an amount h as shown.

Homework Equations

I thought the equation I wanted to use was h = [(p1-p2)/p1]*h2, but this isn't correct.

The Attempt at a Solution

Based on what I thought the equation was, I got .0785m, which isn't right.

I used [(1070-650)/1070] * .2

Any help would be appreciated.

 

[haruspex]

Which fluid is which?
Consider the point at the bottom of the blue fluid, and the point at the same height in the right-hand part of the U. For each point, what is the total mass above it?