Help- Center of Mass/system of particles problem

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The problem involves calculating Carmelita's mass based on the movement of a canoe when she and Ricardo exchange seats. Ricardo, with a mass of 80 kg, and a 25 kg canoe, observe a 45 cm shift in the canoe's position during the seat exchange. The principle of conservation of the center of mass in a closed system is applied, leading to the formulation of two equations representing the center of mass before and after the exchange. By equating these equations, one can derive the mass of Carmelita.

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Hoping someone can help me with this problem:

Ricardo, mass 80 kg, and Carmelita, who is lighter, are enjoying Lake Merced at dusk in a 25 kg canoe. When the canoe is at rest in the placid water, they exchange seats, which are 3.0 m apart and symmetrically located with respect to the canoe's center. Ricardo notices that the canoe moved 45 cm relative to a submerged log during the exchange and calculates Carmelita's mass, which she has not told him. What is it?

Thank you so much!
 
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Sorry mis-phrased it. I mean to the say that the center of mass in a closed system does not change from internal actions. What you need to do is write two equations describing the location of the center of the mass for the initial and final states and equate them.
 
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