
Harvey F. answered 06/20/15
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This is an interesting question since there are two different forces to consider.
One force is as described by Joseph C. below.
However, there is another force acting in the opposite direction caused by the more dense air surrounding the balloons also moving to the left leaving the less dense balloons moving to the right due to buoyant forces.
The combination of these forces might mean the balloons would move to the right if the buoyant force is greater than the inertial force.
I recall seeing a demonstration of candles burning under a dome rotating on a turntable and seeing the flames point inward toward the center of the turntable. As hot air from flames tends to rise like the helium balloons, I believe the balloons will move to the right.