Final answer:
Yes, water will move from hypotonic side A to hypertonic side B due to principles of osmosis until equilibrium is reached.
Step-by-step explanation:
The statement that side A is hypotonic to side B; water will move from side A to side B because there is a higher concentration of water molecules in side A than side B is true. This is due to the principles of osmosis, which dictate that water will move across a selectively permeable membrane from an area of higher water concentration (the hypotonic side) to an area of lower water concentration (the hypertonic side). As side A is hypotonic, it has a lower concentration of solutes compared to side B, which makes it have a relatively higher concentration of water molecules. The net movement will continue until both sides reach an isotonic state, where the solute and water concentrations are equal on both sides, and equilibrium is achieved.